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Finding the Third Proportional to 87,212.75 and 188,366.50

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Solution

The third proportional to 87,212.75 and 188,366.50 is: 406,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,212.75 : 188,366.50 = 188,366.50 : x
  2. Step 2: Convert to fraction form
    87,212.75/188,366.50 = 188,366.50/x
  3. Step 3: Cross multiply
    87,212.75x = 188,366.50 × 188,366.50
  4. Step 4: Simplify right side
    87,212.75x = 35,481,938,322.25
  5. Step 5: Solve for x
    x = 35,481,938,322.25/87,212.75
  6. Step 6: Final answer
    x = 406,843.48

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