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Finding the Third Proportional to 218,163.38 and 462,737.81

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Solution

The third proportional to 218,163.38 and 462,737.81 is: 981,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,163.38 : 462,737.81 = 462,737.81 : x
  2. Step 2: Convert to fraction form
    218,163.38/462,737.81 = 462,737.81/x
  3. Step 3: Cross multiply
    218,163.38x = 462,737.81 × 462,737.81
  4. Step 4: Simplify right side
    218,163.38x = 214,126,283,117.29
  5. Step 5: Solve for x
    x = 214,126,283,117.29/218,163.38
  6. Step 6: Final answer
    x = 981,495.10

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Why These Related Problems?

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