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Finding the Third Proportional to 157,109,899,824 and 344,637,085,536

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Solution

The third proportional to 157,109,899,824 and 344,637,085,536 is: 755,997,686,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109,899,824 : 344,637,085,536 = 344,637,085,536 : x
  2. Step 2: Convert to fraction form
    157,109,899,824/344,637,085,536 = 344,637,085,536/x
  3. Step 3: Cross multiply
    157,109,899,824x = 344,637,085,536 × 344,637,085,536
  4. Step 4: Simplify right side
    157,109,899,824x = 118,774,720,726,748,188,639,232
  5. Step 5: Solve for x
    x = 118,774,720,726,748,188,639,232/157,109,899,824
  6. Step 6: Final answer
    x = 755,997,686,077.10

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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.