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Finding the Third Proportional to 88,630 and 192,812

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Solution

The third proportional to 88,630 and 192,812 is: 419,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,630 : 192,812 = 192,812 : x
  2. Step 2: Convert to fraction form
    88,630/192,812 = 192,812/x
  3. Step 3: Cross multiply
    88,630x = 192,812 × 192,812
  4. Step 4: Simplify right side
    88,630x = 37,176,467,344
  5. Step 5: Solve for x
    x = 37,176,467,344/88,630
  6. Step 6: Final answer
    x = 419,456.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.