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The phrase "a substantially higher proportion" is correct and usable in written English.
It can be used when comparing quantities or percentages to indicate that one is significantly greater than another.
Example: "In the recent survey, a substantially higher proportion of participants preferred option A over option B."
Alternatives: "a significantly larger share" or "a markedly greater percentage".
Exact(46)
And, while Ukip did indeed attract more former Labour voters during the later New Labour years, they have won a substantially higher proportion of Tory voters since the coalition came to power.
Nevertheless, the maltodextrin treatments resulted in a substantially higher proportion of dead cells.
We also find that a substantially higher proportion of right-leaning user participate in fully-connected subgraphs of size k, known as k-cliques.
That's a substantially higher proportion than in other Latin American or Caribbean country, where on average approximately 55percentt of adults are on treatment.
That's a substantially higher proportion than in other Latin American or Caribbean countries, where on average approximately 55percentt of adults are on treatment.
While capable of cutting off both wings to strike at goal from distance, Nani has substantially fewer goals, yet a substantially higher proportion of assists than his former colleague.
Similar(14)
Evidence shows that DM is claiming the lives of more than 4 million people worldwide annually and developing countries account for a substantially high proportion [ 4].
Because a substantially high proportion of high-impact health outcomes of chlamydia infection are in women (i.e., PID and associated complications), it is reasonable to focus on illness in women in such analyses.
Another study also indicates that colon cancer is associated with substantially higher proportion of multiple pre-referral consultations compared with rectal cancer after presentation in primary care (Lyratzopoulos et al, 2012).
Another point is that, although universal subsidies may in some cases benefit the richer groups more in absolute terms (much as agricultural price supports benefit larger farmers more in absolute terms), the benefits to poorer groups in terms of income effects are greater, because of the substantially higher proportion of income spent on food.
In a range of populations that have been studied with these two considerations in mind, data suggest that temporally consistent discounting describes substantially higher proportions of choices than does temporally inconsistent choices.
More suggestions(18)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com