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Finding the Third Proportional to 87,975.49 and 192,077.97

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Solution

The third proportional to 87,975.49 and 192,077.97 is: 419,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,975.49 : 192,077.97 = 192,077.97 : x
  2. Step 2: Convert to fraction form
    87,975.49/192,077.97 = 192,077.97/x
  3. Step 3: Cross multiply
    87,975.49x = 192,077.97 × 192,077.97
  4. Step 4: Simplify right side
    87,975.49x = 36,893,947,954.89
  5. Step 5: Solve for x
    x = 36,893,947,954.89/87,975.49
  6. Step 6: Final answer
    x = 419,366.20

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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.