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Finding the Third Proportional to 218,168.44 and 462,747.94

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Solution

The third proportional to 218,168.44 and 462,747.94 is: 981,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,168.44 : 462,747.94 = 462,747.94 : x
  2. Step 2: Convert to fraction form
    218,168.44/462,747.94 = 462,747.94/x
  3. Step 3: Cross multiply
    218,168.44x = 462,747.94 × 462,747.94
  4. Step 4: Simplify right side
    218,168.44x = 214,135,653,660.50
  5. Step 5: Solve for x
    x = 214,135,653,660.50/218,168.44
  6. Step 6: Final answer
    x = 981,515.27

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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.