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Finding the Third Proportional to 41,964.75 and 90,631.88

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Solution

The third proportional to 41,964.75 and 90,631.88 is: 195,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964.75 : 90,631.88 = 90,631.88 : x
  2. Step 2: Convert to fraction form
    41,964.75/90,631.88 = 90,631.88/x
  3. Step 3: Cross multiply
    41,964.75x = 90,631.88 × 90,631.88
  4. Step 4: Simplify right side
    41,964.75x = 8,214,136,766.02
  5. Step 5: Solve for x
    x = 8,214,136,766.02/41,964.75
  6. Step 6: Final answer
    x = 195,738.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.