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Finding the Third Proportional to 41,688.42 and 91,161.70

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Solution

The third proportional to 41,688.42 and 91,161.70 is: 199,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688.42 : 91,161.70 = 91,161.70 : x
  2. Step 2: Convert to fraction form
    41,688.42/91,161.70 = 91,161.70/x
  3. Step 3: Cross multiply
    41,688.42x = 91,161.70 × 91,161.70
  4. Step 4: Simplify right side
    41,688.42x = 8,310,456,116.65
  5. Step 5: Solve for x
    x = 8,310,456,116.65/41,688.42
  6. Step 6: Final answer
    x = 199,346.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.