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The phrase "a greatest proportion" is not correct in written English.
The correct form would be "the greatest proportion."
Example: "The study found that the greatest proportion of participants preferred option A over option B."
Alternatives: "the largest share" or "the highest percentage."
Exact(2)
A hospital with a greatest proportion of higher-level cadres will definitely have a higher salary bill even if the number of staff is small.
Patients with RBBB had a more frequent history of ischaemic heart disease and prior myocardial infarction, a greatest proportion of central obesity, signs of left and right HF, and abnormal RV motion at echocardiography.
Similar(56)
A greater proportion of these go to urban areas.
The Netherlands and Germany share a greater proportion of one-person households than the UK.
A greater proportion of the population will fall victim to heart disease or cancer.
Certainly Chávez has redirected a great proportion of revenue into projects that help the majority.
It also allows a greater proportion of lesson time to be focused on learning.
There is also pressure on Arts Council England to spend a greater proportion of its money outside London.
But studies show that a greater proportion of people in debt will report mental health problems.
London has lost a greater proportion of its industry than almost anywhere.
A greater proportion, 42%, live in social housing, and another 27% rent from the private sector.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com