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Finding the Third Proportional to 47,217.38 and 96,616.13

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Solution

The third proportional to 47,217.38 and 96,616.13 is: 197,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,217.38 : 96,616.13 = 96,616.13 : x
  2. Step 2: Convert to fraction form
    47,217.38/96,616.13 = 96,616.13/x
  3. Step 3: Cross multiply
    47,217.38x = 96,616.13 × 96,616.13
  4. Step 4: Simplify right side
    47,217.38x = 9,334,675,610.02
  5. Step 5: Solve for x
    x = 9,334,675,610.02/47,217.38
  6. Step 6: Final answer
    x = 197,695.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.