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Finding the Third Proportional to 41,180.06 and 89,378.44

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Solution

The third proportional to 41,180.06 and 89,378.44 is: 193,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180.06 : 89,378.44 = 89,378.44 : x
  2. Step 2: Convert to fraction form
    41,180.06/89,378.44 = 89,378.44/x
  3. Step 3: Cross multiply
    41,180.06x = 89,378.44 × 89,378.44
  4. Step 4: Simplify right side
    41,180.06x = 7,988,505,089.94
  5. Step 5: Solve for x
    x = 7,988,505,089.94/41,180.06
  6. Step 6: Final answer
    x = 193,989.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.