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Finding the Third Proportional to 102,019.92 and 220,661.30

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Solution

The third proportional to 102,019.92 and 220,661.30 is: 477,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019.92 : 220,661.30 = 220,661.30 : x
  2. Step 2: Convert to fraction form
    102,019.92/220,661.30 = 220,661.30/x
  3. Step 3: Cross multiply
    102,019.92x = 220,661.30 × 220,661.30
  4. Step 4: Simplify right side
    102,019.92x = 48,691,407,938.56
  5. Step 5: Solve for x
    x = 48,691,407,938.56/102,019.92
  6. Step 6: Final answer
    x = 477,273.53

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Why These Related Problems?

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