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Finding the Third Proportional to 88,359 and 189,902

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Solution

The third proportional to 88,359 and 189,902 is: 408,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,359 : 189,902 = 189,902 : x
  2. Step 2: Convert to fraction form
    88,359/189,902 = 189,902/x
  3. Step 3: Cross multiply
    88,359x = 189,902 × 189,902
  4. Step 4: Simplify right side
    88,359x = 36,062,769,604
  5. Step 5: Solve for x
    x = 36,062,769,604/88,359
  6. Step 6: Final answer
    x = 408,139.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.