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Finding the Third Proportional to 101,982.38 and 220,910.63

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Solution

The third proportional to 101,982.38 and 220,910.63 is: 478,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,982.38 : 220,910.63 = 220,910.63 : x
  2. Step 2: Convert to fraction form
    101,982.38/220,910.63 = 220,910.63/x
  3. Step 3: Cross multiply
    101,982.38x = 220,910.63 × 220,910.63
  4. Step 4: Simplify right side
    101,982.38x = 48,801,504,237.89
  5. Step 5: Solve for x
    x = 48,801,504,237.89/101,982.38
  6. Step 6: Final answer
    x = 478,528.81

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Why These Related Problems?

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