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"with approximately" is a correct and usable phrase in written English.
It is typically used to indicate an estimated or rough number or amount. Example: "The population of the city is expected to grow, with approximately 50,000 new residents moving in over the next five years."
Exact(59)
Compare that to, say, Seattle, with approximately 241,000 fans.
("It's great being huddled here with approximately seven boys").
That compares with approximately 50% protection in recent years.
With approximately 70,000 Jews, it was not the largest.
Population density is already high, with approximately 1045 Bangladeshis crammed into each square kilometer of land.
Nigeria is the largest black nation, with approximately 150 million people.
The program now has 12 teachers working with approximately 500 students.
Today, the school now thrives with approximately 150 members of staff and over 1300 students.
They hope to fill it with approximately 8-9,000 titles.
I woke up in a hotel room with approximately forty-five other people.
That plane was subsequently seized with approximately 2,000kg of cocaine on board".
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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