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Finding the Third Proportional to 218,113 and 462,591.50

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Solution

The third proportional to 218,113 and 462,591.50 is: 981,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,113 : 462,591.50 = 462,591.50 : x
  2. Step 2: Convert to fraction form
    218,113/462,591.50 = 462,591.50/x
  3. Step 3: Cross multiply
    218,113x = 462,591.50 × 462,591.50
  4. Step 4: Simplify right side
    218,113x = 213,990,895,872.25
  5. Step 5: Solve for x
    x = 213,990,895,872.25/218,113
  6. Step 6: Final answer
    x = 981,101.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.