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Finding the Third Proportional to 45,777 and 96,474.75

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Solution

The third proportional to 45,777 and 96,474.75 is: 203,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,777 : 96,474.75 = 96,474.75 : x
  2. Step 2: Convert to fraction form
    45,777/96,474.75 = 96,474.75/x
  3. Step 3: Cross multiply
    45,777x = 96,474.75 × 96,474.75
  4. Step 4: Simplify right side
    45,777x = 9,307,377,387.56
  5. Step 5: Solve for x
    x = 9,307,377,387.56/45,777
  6. Step 6: Final answer
    x = 203,319.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.