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Finding the Third Proportional to 99,982.28 and 141,471.92

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Solution

The third proportional to 99,982.28 and 141,471.92 is: 200,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,982.28 : 141,471.92 = 141,471.92 : x
  2. Step 2: Convert to fraction form
    99,982.28/141,471.92 = 141,471.92/x
  3. Step 3: Cross multiply
    99,982.28x = 141,471.92 × 141,471.92
  4. Step 4: Simplify right side
    99,982.28x = 20,014,303,711.91
  5. Step 5: Solve for x
    x = 20,014,303,711.91/99,982.28
  6. Step 6: Final answer
    x = 200,178.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.