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Finding the Third Proportional to 74,165,960.25 and 109,105,542

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Solution

The third proportional to 74,165,960.25 and 109,105,542 is: 160,505,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,165,960.25 : 109,105,542 = 109,105,542 : x
  2. Step 2: Convert to fraction form
    74,165,960.25/109,105,542 = 109,105,542/x
  3. Step 3: Cross multiply
    74,165,960.25x = 109,105,542 × 109,105,542
  4. Step 4: Simplify right side
    74,165,960.25x = 11,904,019,295,113,764
  5. Step 5: Solve for x
    x = 11,904,019,295,113,764/74,165,960.25
  6. Step 6: Final answer
    x = 160,505,159.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.