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Finding the Third Proportional to 107,163 and 229,089

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Solution

The third proportional to 107,163 and 229,089 is: 489,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,163 : 229,089 = 229,089 : x
  2. Step 2: Convert to fraction form
    107,163/229,089 = 229,089/x
  3. Step 3: Cross multiply
    107,163x = 229,089 × 229,089
  4. Step 4: Simplify right side
    107,163x = 52,481,769,921
  5. Step 5: Solve for x
    x = 52,481,769,921/107,163
  6. Step 6: Final answer
    x = 489,737.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.