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Finding the Third Proportional to 47,442 and 101,910

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Solution

The third proportional to 47,442 and 101,910 is: 218,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,442 : 101,910 = 101,910 : x
  2. Step 2: Convert to fraction form
    47,442/101,910 = 101,910/x
  3. Step 3: Cross multiply
    47,442x = 101,910 × 101,910
  4. Step 4: Simplify right side
    47,442x = 10,385,648,100
  5. Step 5: Solve for x
    x = 10,385,648,100/47,442
  6. Step 6: Final answer
    x = 218,912.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.