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Finding the Third Proportional to 87,946.39 and 192,021.88

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Solution

The third proportional to 87,946.39 and 192,021.88 is: 419,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,946.39 : 192,021.88 = 192,021.88 : x
  2. Step 2: Convert to fraction form
    87,946.39/192,021.88 = 192,021.88/x
  3. Step 3: Cross multiply
    87,946.39x = 192,021.88 × 192,021.88
  4. Step 4: Simplify right side
    87,946.39x = 36,872,401,257.91
  5. Step 5: Solve for x
    x = 36,872,401,257.91/87,946.39
  6. Step 6: Final answer
    x = 419,259.96

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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.