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The phrase "almost exactly the same proportion as" is correct and usable in written English.
It can be used when comparing two quantities or ratios that are very similar but not identical.
Example: "The survey results showed that participants preferred option A almost exactly the same proportion as option B."
Alternatives: "nearly identical ratio to" or "approximately the same percentage as".
Exact(3)
Of the 21 cabinet posts announced, seven went to women, almost exactly the same proportion as under David Cameron.
Whites, who account for 9% of the population, gained 42% of the degrees awarded in 2007, almost exactly the same proportion as blacks, who are nearly ten times more numerous.Much of this discrepancy is to do with history.
That is almost exactly the same proportion as the foreign-born share of the labour force, which, say Messrs Davis and Weinstein, reinforces the view that all factor inflows, capital and labour, should be looked at together.
Similar(57)
Khan won 44% of first preference votes under the supplementary vote system, compared with Goldsmith's 35% – almost exactly the same proportions as Labour and Conservative parliamentary candidates had taken in London at the general election.
France has won almost exactly the same proportion of Six Nations Tournaments in which it has competed as England, and is the most successful nation in the post-WWII (1945 present) era.
Welcome to Obama's America: nearly half the population is not represented on a taxable return -- almost exactly the same proportion that lives in a household where at least one member receives some type of government benefit," said Ferguson.
The primary end point was a composite of fatal stroke, fatal myocardial infarction and other fatal cardiovascular disease and occurred in almost exactly the same proportion (19.8 events/1000 patient years) in both treatment arms (RR 0.99, p = 0.89).
This is exactly the same proportion as when the question was last asked last May.
Nine in ten adults select the label "middle class", exactly the same proportion as in 1939, according to the pollsters Gallup.
Pregnancy had been experienced by 9.9% of female students and by 9.8% of male students' female partners over their lifetime; the numbers for induced abortion were almost exactly the same in proportion as pregnancy, among students of both genders.
It therefore has almost exactly the same overall proportion (just under 90%) of proteins in gene families as M. acetivorans.
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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