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Finding the Third Proportional to 102,367.13 and 220,725

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Solution

The third proportional to 102,367.13 and 220,725 is: 475,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,367.13 : 220,725 = 220,725 : x
  2. Step 2: Convert to fraction form
    102,367.13/220,725 = 220,725/x
  3. Step 3: Cross multiply
    102,367.13x = 220,725 × 220,725
  4. Step 4: Simplify right side
    102,367.13x = 48,719,525,625
  5. Step 5: Solve for x
    x = 48,719,525,625/102,367.13
  6. Step 6: Final answer
    x = 475,929.41

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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.