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The phrase "are currently approximately" is correct and usable in written English.
It can be used when providing an estimate or approximation of a quantity or situation that is happening at the present time.
Example: "The number of participants in the event are currently approximately 150."
Alternatives: "are presently about" or "are currently around".
Dictionary
are currently approximately
adverb
At this moment, at present, now.
synonyms
Exact(18)
There are currently approximately 6000 DCCs in the Netherlands, providing care for half of the approximate 0.7 million Dutch population of children aged between 0 and 4 years [ 19, 20].
The company tells me that there are currently approximately 9 million Subversion users, with 1 million on paid plans.
There are currently approximately 150 post-approval studies underway, mainly concerning class III devices, and the majority face difficulties implementing the study or meeting the study objectives.
They are currently approximately $9,000 in debt after the procedure.
There are currently approximately 200 Foreign Service positions at Embassy Baghdad and another 70 or so at the 25 Provincial Reconstruction Teams.
There are currently approximately seven billion people inhabiting the earth, however there have been approximately 106 billion people to have ever been born and died.
Similar(42)
The overall size of the bunkering market is currently approximately 230 million tonnes per year.
And just for the sake of comparison: Microsoft's market cap is currently approximately $246 billion, while IBM's is $158 billion and Yahoo's closed last week at $22 billion.
> The reported cure rate for RMS is currently approximately 70%.
Based on publicly available data, National Institute of Health funding for HIV/AIDS in the United States is currently approximately $3 billion [ 5].
For conditions such as IRDs, clinical presentations are relatively specific and the total number of genes involved is currently approximately 230 [9].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com