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Finding the Third Proportional to 47,658.38 and 103,616.72

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Solution

The third proportional to 47,658.38 and 103,616.72 is: 225,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.38 : 103,616.72 = 103,616.72 : x
  2. Step 2: Convert to fraction form
    47,658.38/103,616.72 = 103,616.72/x
  3. Step 3: Cross multiply
    47,658.38x = 103,616.72 × 103,616.72
  4. Step 4: Simplify right side
    47,658.38x = 10,736,424,404.52
  5. Step 5: Solve for x
    x = 10,736,424,404.52/47,658.38
  6. Step 6: Final answer
    x = 225,278.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.