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Finding the Third Proportional to 87,213.38 and 188,367.75

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Solution

The third proportional to 87,213.38 and 188,367.75 is: 406,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,213.38 : 188,367.75 = 188,367.75 : x
  2. Step 2: Convert to fraction form
    87,213.38/188,367.75 = 188,367.75/x
  3. Step 3: Cross multiply
    87,213.38x = 188,367.75 × 188,367.75
  4. Step 4: Simplify right side
    87,213.38x = 35,482,409,240.06
  5. Step 5: Solve for x
    x = 35,482,409,240.06/87,213.38
  6. Step 6: Final answer
    x = 406,845.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.