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Finding the Third Proportional to 41,919.75 and 91,311.75

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Solution

The third proportional to 41,919.75 and 91,311.75 is: 198,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,919.75 : 91,311.75 = 91,311.75 : x
  2. Step 2: Convert to fraction form
    41,919.75/91,311.75 = 91,311.75/x
  3. Step 3: Cross multiply
    41,919.75x = 91,311.75 × 91,311.75
  4. Step 4: Simplify right side
    41,919.75x = 8,337,835,688.06
  5. Step 5: Solve for x
    x = 8,337,835,688.06/41,919.75
  6. Step 6: Final answer
    x = 198,899.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.