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The phrase "a far larger margin" is correct and usable in written English.
It can be used when comparing quantities, sizes, or differences, indicating that one is significantly greater than another.
Example: "The new policy resulted in a far larger margin of profit compared to last year's figures."
Alternatives: "a significantly larger gap" or "a much greater difference".
Exact(6)
By a far larger margin, however 84% to 16%—the voters opined that Nottingham ought to give the money back.
Without any new legislation, and if current policies remain in place, gas would beat out coal by a far larger margin, according to E.P.A. projections.
One modest consolation came from an Edgemont parent who said she thought her team would beat us by a far larger margin.
Hamas narrowly won the Palestinian legislative elections in 2006 by three points, and refused to support the peace initiatives of President Mahmoud Abbas, who was elected by a far larger margin the year before.
A Joint Center for Political and Economic Studies poll in 2004 found that blacks by a far larger margin than the overall population opposed gay marriage.
While Romney did indeed win with white women (+14 Romney), he won by a far larger margin with white men (+27).
Similar(53)
Although no single pattern fits all four countries, the results in each of the elections gave religiously oriented parties far larger margins than expected.
Because they tend to win by far larger margins than most incumbents, minority members have long complained they are taken for granted and do not get their fair share of the party's campaign resources.
If Romney had won 52%to48%8%, he would have secured a far larger winning electoral vote margin of 315 to 223.
Rudolph Giuliani, who was the US Attorney here until January, would, according to early-May polls, defeat Dinkins in the general election, or, if Koch should make it that far, would beat him by an even larger margin.
The New Yorker, June 19 , 1989P. 78 Rudolph Giuliani, who was the US Attorney here until January, would, according to early-May polls, defeat Dinkins in the general election, or, if Koch should make it that far, would beat him by an even larger margin.
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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