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Finding the Third Proportional to 87,826 and 188,990

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Solution

The third proportional to 87,826 and 188,990 is: 406,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,826 : 188,990 = 188,990 : x
  2. Step 2: Convert to fraction form
    87,826/188,990 = 188,990/x
  3. Step 3: Cross multiply
    87,826x = 188,990 × 188,990
  4. Step 4: Simplify right side
    87,826x = 35,717,220,100
  5. Step 5: Solve for x
    x = 35,717,220,100/87,826
  6. Step 6: Final answer
    x = 406,681.62

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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.