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Finding the Third Proportional to 103,452.47 and 223,231.22

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Solution

The third proportional to 103,452.47 and 223,231.22 is: 481,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,452.47 : 223,231.22 = 223,231.22 : x
  2. Step 2: Convert to fraction form
    103,452.47/223,231.22 = 223,231.22/x
  3. Step 3: Cross multiply
    103,452.47x = 223,231.22 × 223,231.22
  4. Step 4: Simplify right side
    103,452.47x = 49,832,177,024.61
  5. Step 5: Solve for x
    x = 49,832,177,024.61/103,452.47
  6. Step 6: Final answer
    x = 481,691.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.