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Finding the Third Proportional to 90,282.38 and 192,228.38

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Solution

The third proportional to 90,282.38 and 192,228.38 is: 409,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,282.38 : 192,228.38 = 192,228.38 : x
  2. Step 2: Convert to fraction form
    90,282.38/192,228.38 = 192,228.38/x
  3. Step 3: Cross multiply
    90,282.38x = 192,228.38 × 192,228.38
  4. Step 4: Simplify right side
    90,282.38x = 36,951,748,155.14
  5. Step 5: Solve for x
    x = 36,951,748,155.14/90,282.38
  6. Step 6: Final answer
    x = 409,290.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.