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Finding the Third Proportional to 88,389 and 192,147

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Solution

The third proportional to 88,389 and 192,147 is: 417,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,389 : 192,147 = 192,147 : x
  2. Step 2: Convert to fraction form
    88,389/192,147 = 192,147/x
  3. Step 3: Cross multiply
    88,389x = 192,147 × 192,147
  4. Step 4: Simplify right side
    88,389x = 36,920,469,609
  5. Step 5: Solve for x
    x = 36,920,469,609/88,389
  6. Step 6: Final answer
    x = 417,704.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.