The phrase "absorb the growing number" is correct and usable in written English.
It can be used when discussing the capacity or ability to take in or accommodate an increasing quantity of something, such as data, people, or resources.
Example: "The organization must find ways to absorb the growing number of clients to maintain its service quality."
Alternatives: "accommodate the increasing number" or "take in the rising number."
The German government is struggling to absorb the growing number of migrants in its cities.
To absorb the growing number of asylum seekers, city representatives have turned to such unusual alternatives as empty warehouses, military barracks and tents.
This, combined with wide-scale layoffs as the Government tries to retool a socialist economy by selling off state-owned businesses, has made it all the more difficult for families to absorb the growing number of orphans.
Population increases, rural migration and other economic pressures mean that marginal land expansion will continue to absorb the growing number of rural households in the region.
Herrington et al. (2009) noted that given the failure of the formal and public sector to absorb the growing number of job seekers in a nation, increasing attention had focused on entrepreneurship and new firm creation and its potential for contributing to economic growth and job creation.
For all the economic growth that sub-Saharan Africa has been witnessing over the last decade, few of our economies have expanded to such an extent as to be able to absorb the growing numbers of well-educated young people, to offer them hope and opportunities that they worked hard to attain.
Mayonnaise can occasionally split or curdle, but only if you start with very cold ingredients, add the oil too fast or don't whisk it properly (you need to give the yolky base a chance to absorb and envelop the growing number of oil droplets).
No one is more absorbed in the maddening hunt than the growing number of families who got the dreaded phone call.
The growing number of rats.
A number of international NGOs are present in Kurdistan and are working hard to help absorb the growing needs of the population there.
The numbers suggest that America's economy was sputtering well before the credit crisis.America needs to create at least 100,000 jobs a month merely to absorb the growing working population.
