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Finding the Third Proportional to 92,452.13 and 196,819.13

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Solution

The third proportional to 92,452.13 and 196,819.13 is: 419,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,452.13 : 196,819.13 = 196,819.13 : x
  2. Step 2: Convert to fraction form
    92,452.13/196,819.13 = 196,819.13/x
  3. Step 3: Cross multiply
    92,452.13x = 196,819.13 × 196,819.13
  4. Step 4: Simplify right side
    92,452.13x = 38,737,767,965.77
  5. Step 5: Solve for x
    x = 38,737,767,965.77/92,452.13
  6. Step 6: Final answer
    x = 419,003.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.