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Finding the Third Proportional to 88,664 and 192,880

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Solution

The third proportional to 88,664 and 192,880 is: 419,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,664 : 192,880 = 192,880 : x
  2. Step 2: Convert to fraction form
    88,664/192,880 = 192,880/x
  3. Step 3: Cross multiply
    88,664x = 192,880 × 192,880
  4. Step 4: Simplify right side
    88,664x = 37,202,694,400
  5. Step 5: Solve for x
    x = 37,202,694,400/88,664
  6. Step 6: Final answer
    x = 419,591.88

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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.