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Finding the Third Proportional to 87,819.19 and 191,549.81

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Solution

The third proportional to 87,819.19 and 191,549.81 is: 417,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,819.19 : 191,549.81 = 191,549.81 : x
  2. Step 2: Convert to fraction form
    87,819.19/191,549.81 = 191,549.81/x
  3. Step 3: Cross multiply
    87,819.19x = 191,549.81 × 191,549.81
  4. Step 4: Simplify right side
    87,819.19x = 36,691,330,668.79
  5. Step 5: Solve for x
    x = 36,691,330,668.79/87,819.19
  6. Step 6: Final answer
    x = 417,805.40

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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.