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Finding the Third Proportional to 137,768,155,753.50 and 215,644,791,411

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Solution

The third proportional to 137,768,155,753.50 and 215,644,791,411 is: 337,542,996,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,768,155,753.50 : 215,644,791,411 = 215,644,791,411 : x
  2. Step 2: Convert to fraction form
    137,768,155,753.50/215,644,791,411 = 215,644,791,411/x
  3. Step 3: Cross multiply
    137,768,155,753.50x = 215,644,791,411 × 215,644,791,411
  4. Step 4: Simplify right side
    137,768,155,753.50x = 46,502,676,062,693,696,208,896
  5. Step 5: Solve for x
    x = 46,502,676,062,693,696,208,896/137,768,155,753.50
  6. Step 6: Final answer
    x = 337,542,996,118.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.