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Finding the Third Proportional to 99,337.78 and 141,868.97

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Solution

The third proportional to 99,337.78 and 141,868.97 is: 202,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,337.78 : 141,868.97 = 141,868.97 : x
  2. Step 2: Convert to fraction form
    99,337.78/141,868.97 = 141,868.97/x
  3. Step 3: Cross multiply
    99,337.78x = 141,868.97 × 141,868.97
  4. Step 4: Simplify right side
    99,337.78x = 20,126,804,294.19
  5. Step 5: Solve for x
    x = 20,126,804,294.19/99,337.78
  6. Step 6: Final answer
    x = 202,609.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.