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The phrase "approximately the size of" is correct and usable in written English.
It can be used when providing a rough estimate of the dimensions or scale of an object or entity in comparison to something else.
Example: "The new smartphone is approximately the size of a credit card, making it very portable."
Alternatives: "roughly the size of" or "about the size of".
Exact(60)
Yield: About 30 pieces, approximately the size of a matchbook.
In his four years as mayor, London will grow by approximately the size of Bristol.
This is approximately the size of the complete Riverside edition of Shakespeare.
The large park, approximately the size of Wales, has experienced the highest number of killings.
The award is a framed certificate approximately the size of a tie box.
Approximately the size of an elephant, the once solitary bus has baffled the scientific community by exhibiting herding behavior.
(This would be an area approximately the size of 60 football fields).
Bangweulu swamp covers an area approximately the size of Derbyshire, and in 1991 was designated as a wetland of international importance.
The most traditional South African family holiday is a self-drive trip from Johannesburg to the 19,500 sq km (approximately the size of Wales) Kruger national park.
It was so big that, as one biologist correctly points out, the great white is approximately the size of its claspers (the male genitals).
If we rounded them up and gave them their own jurisdiction, their state's population would be the seventh largest in the Union — approximately the size of Ohio's.
More suggestions(15)
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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