Finding the Third Proportional to 157,109,899,829 and 344,637,085,546
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Solution
The third proportional to 157,109,899,829 and 344,637,085,546 is: 755,997,686,096.91
Step by Step Solution
- Step 1: Write the proportion equation
157,109,899,829 : 344,637,085,546 = 344,637,085,546 : x - Step 2: Convert to fraction form
157,109,899,829/344,637,085,546 = 344,637,085,546/x - Step 3: Cross multiply
157,109,899,829x = 344,637,085,546 × 344,637,085,546 - Step 4: Simplify right side
157,109,899,829x = 118,774,720,733,640,923,283,456 - Step 5: Solve for x
x = 118,774,720,733,640,923,283,456/157,109,899,829 - Step 6: Final answer
x = 755,997,686,096.91
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.