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Finding the Third Proportional to 177,044,494,250 and 271,961,998,755

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Solution

The third proportional to 177,044,494,250 and 271,961,998,755 is: 417,766,895,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,044,494,250 : 271,961,998,755 = 271,961,998,755 : x
  2. Step 2: Convert to fraction form
    177,044,494,250/271,961,998,755 = 271,961,998,755/x
  3. Step 3: Cross multiply
    177,044,494,250x = 271,961,998,755 × 271,961,998,755
  4. Step 4: Simplify right side
    177,044,494,250x = 73,963,328,766,814,625,726,464
  5. Step 5: Solve for x
    x = 73,963,328,766,814,625,726,464/177,044,494,250
  6. Step 6: Final answer
    x = 417,766,895,718.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.