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Finding the Third Proportional to 45,793.13 and 95,434.88

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Solution

The third proportional to 45,793.13 and 95,434.88 is: 198,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,793.13 : 95,434.88 = 95,434.88 : x
  2. Step 2: Convert to fraction form
    45,793.13/95,434.88 = 95,434.88/x
  3. Step 3: Cross multiply
    45,793.13x = 95,434.88 × 95,434.88
  4. Step 4: Simplify right side
    45,793.13x = 9,107,815,366.27
  5. Step 5: Solve for x
    x = 9,107,815,366.27/45,793.13
  6. Step 6: Final answer
    x = 198,890.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.