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Finding the Third Proportional to 73,071,306 and 157,165,092

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Solution

The third proportional to 73,071,306 and 157,165,092 is: 338,037,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071,306 : 157,165,092 = 157,165,092 : x
  2. Step 2: Convert to fraction form
    73,071,306/157,165,092 = 157,165,092/x
  3. Step 3: Cross multiply
    73,071,306x = 157,165,092 × 157,165,092
  4. Step 4: Simplify right side
    73,071,306x = 24,700,866,143,368,464
  5. Step 5: Solve for x
    x = 24,700,866,143,368,464/73,071,306
  6. Step 6: Final answer
    x = 338,037,835.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.