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Finding the Third Proportional to 87,818 and 188,974

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Solution

The third proportional to 87,818 and 188,974 is: 406,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,818 : 188,974 = 188,974 : x
  2. Step 2: Convert to fraction form
    87,818/188,974 = 188,974/x
  3. Step 3: Cross multiply
    87,818x = 188,974 × 188,974
  4. Step 4: Simplify right side
    87,818x = 35,711,172,676
  5. Step 5: Solve for x
    x = 35,711,172,676/87,818
  6. Step 6: Final answer
    x = 406,649.81

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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.