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Finding the Third Proportional to 85,864.88 and 131,353.88

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Solution

The third proportional to 85,864.88 and 131,353.88 is: 200,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864.88 : 131,353.88 = 131,353.88 : x
  2. Step 2: Convert to fraction form
    85,864.88/131,353.88 = 131,353.88/x
  3. Step 3: Cross multiply
    85,864.88x = 131,353.88 × 131,353.88
  4. Step 4: Simplify right side
    85,864.88x = 17,253,840,477.52
  5. Step 5: Solve for x
    x = 17,253,840,477.52/85,864.88
  6. Step 6: Final answer
    x = 200,941.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.