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Finding the Third Proportional to 100,981.22 and 218,791.69

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Solution

The third proportional to 100,981.22 and 218,791.69 is: 474,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,981.22 : 218,791.69 = 218,791.69 : x
  2. Step 2: Convert to fraction form
    100,981.22/218,791.69 = 218,791.69/x
  3. Step 3: Cross multiply
    100,981.22x = 218,791.69 × 218,791.69
  4. Step 4: Simplify right side
    100,981.22x = 47,869,802,519.10
  5. Step 5: Solve for x
    x = 47,869,802,519.10/100,981.22
  6. Step 6: Final answer
    x = 474,046.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.