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Finding the Third Proportional to 83,013,272 and 181,664,704

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Solution

The third proportional to 83,013,272 and 181,664,704 is: 397,551,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013,272 : 181,664,704 = 181,664,704 : x
  2. Step 2: Convert to fraction form
    83,013,272/181,664,704 = 181,664,704/x
  3. Step 3: Cross multiply
    83,013,272x = 181,664,704 × 181,664,704
  4. Step 4: Simplify right side
    83,013,272x = 33,002,064,679,407,616
  5. Step 5: Solve for x
    x = 33,002,064,679,407,616/83,013,272
  6. Step 6: Final answer
    x = 397,551,667.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.