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The phrase "approximately the same number" is correct and usable in written English.
It can be used when discussing quantities that are close in value but not exactly equal.
Example: "The two groups had approximately the same number of participants, making the comparison valid."
Alternatives: "roughly the same amount" or "about the same quantity".
Exact(60)
Approximately the same number are taking the lead in security operations or are "fully independent".
In approximately the same number of at-bats, he hit 16 the season before and 18 the season after.
But there have been approximately the same number of male and female judges (though no woman has yet chaired the judges).
While both counties serve approximately the same number of people, most of Nassau's strips have been absorbed into its established downtown business districts, Mr. Fedelem said.
Approximately the same number vote in school board elections in May, when the ballot includes the school budget and the library budget.
The tempo was faster than in the Chicago bout, and Liston hit him a great deal more often, knocking him down three times instead of once in approximately the same number of seconds.
Yet it is equally plausible that the political elite are not taking sides because Messrs Potanin and Deripaska have approximately the same number of friends in high places.
Although dissimilar to Glagolitic in letter form, Cyrillic had approximately the same number of letters as Glagolitic and identical sound values for those letters.
He found that there was approximately the same number of adults in the 20-to-40 20-to-40 20-to-40r-40 age range in both groups.
We have approximately the same number of employees.
Nicely, they came up with approximately the same number.
More suggestions(17)
approximately the same proportion
roughly the same number
approximately the same quantity
approximately the same prevalence
nearly the same number
about the same number
around the same number
order the same number
approximately the mean number
approximately the same output
approximately the same height
approximately the same weight
approximately the true number
approximately the same valence
approximately the average number
approximately the same codon
approximately the same frequency
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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