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Finding the Third Proportional to 99,286.38 and 151,876.90

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Solution

The third proportional to 99,286.38 and 151,876.90 is: 232,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,286.38 : 151,876.90 = 151,876.90 : x
  2. Step 2: Convert to fraction form
    99,286.38/151,876.90 = 151,876.90/x
  3. Step 3: Cross multiply
    99,286.38x = 151,876.90 × 151,876.90
  4. Step 4: Simplify right side
    99,286.38x = 23,066,592,278.99
  5. Step 5: Solve for x
    x = 23,066,592,278.99/99,286.38
  6. Step 6: Final answer
    x = 232,323.83

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Why These Related Problems?

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