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The phrase "are approximately a" is correct and usable in written English.
It can be used when providing an estimate or approximation of a quantity or measurement.
Example: "The results of the experiment are approximately a hundred times more effective than previous methods."
Alternatives: "are roughly a" or "are about a".
Exact(32)
We are approximately a third of the way through a decade of cuts.
There are approximately a hundred hands working for Oscar, if you figure two hands per person.
They are approximately a whole tone, a semitone, and an intermediate tone.
In a language with sixty thousand words, there are approximately a hundred billion trillion ten-word combinations that make grammatical sense.
"There are a couple that are approximately a minute, but all of the rest are below that, and they are really close to the citywide average".
Today, tinkering skills are no longer needed, as there are approximately a dozen direct-to-consumer devices available for purchase by the public.
Similar(28)
That's approximately a trillion exoplanets.
It is approximately a 20-minute bus ride to campus.
The island is approximately a mile and a half long by half a mile wide.
A year ago, fighting an accomplished wrestler named Sara McMann, Rousey was approximately a four-to-one favorite.
(Rose's upkeep, according to Charles Bowden, is approximately a quarter of a million dollars a year).
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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