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Finding the Third Proportional to 86,616.38 and 128,658.75

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Solution

The third proportional to 86,616.38 and 128,658.75 is: 191,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,616.38 : 128,658.75 = 128,658.75 : x
  2. Step 2: Convert to fraction form
    86,616.38/128,658.75 = 128,658.75/x
  3. Step 3: Cross multiply
    86,616.38x = 128,658.75 × 128,658.75
  4. Step 4: Simplify right side
    86,616.38x = 16,553,073,951.56
  5. Step 5: Solve for x
    x = 16,553,073,951.56/86,616.38
  6. Step 6: Final answer
    x = 191,107.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.