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Finding the Third Proportional to 87,085.13 and 190,766.81

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Solution

The third proportional to 87,085.13 and 190,766.81 is: 417,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,085.13 : 190,766.81 = 190,766.81 : x
  2. Step 2: Convert to fraction form
    87,085.13/190,766.81 = 190,766.81/x
  3. Step 3: Cross multiply
    87,085.13x = 190,766.81 × 190,766.81
  4. Step 4: Simplify right side
    87,085.13x = 36,391,976,751.41
  5. Step 5: Solve for x
    x = 36,391,976,751.41/87,085.13
  6. Step 6: Final answer
    x = 417,889.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.