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Finding the Third Proportional to 87,826.50 and 188,973.56

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Solution

The third proportional to 87,826.50 and 188,973.56 is: 406,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,826.50 : 188,973.56 = 188,973.56 : x
  2. Step 2: Convert to fraction form
    87,826.50/188,973.56 = 188,973.56/x
  3. Step 3: Cross multiply
    87,826.50x = 188,973.56 × 188,973.56
  4. Step 4: Simplify right side
    87,826.50x = 35,711,007,323.94
  5. Step 5: Solve for x
    x = 35,711,007,323.94/87,826.50
  6. Step 6: Final answer
    x = 406,608.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.