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Finding the Third Proportional to 87,502.07 and 190,842.80

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Solution

The third proportional to 87,502.07 and 190,842.80 is: 416,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,502.07 : 190,842.80 = 190,842.80 : x
  2. Step 2: Convert to fraction form
    87,502.07/190,842.80 = 190,842.80/x
  3. Step 3: Cross multiply
    87,502.07x = 190,842.80 × 190,842.80
  4. Step 4: Simplify right side
    87,502.07x = 36,420,975,355.51
  5. Step 5: Solve for x
    x = 36,420,975,355.51/87,502.07
  6. Step 6: Final answer
    x = 416,229.87

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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.