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Finding the Third Proportional to 36,994.22 and 80,212.78

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Solution

The third proportional to 36,994.22 and 80,212.78 is: 173,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,994.22 : 80,212.78 = 80,212.78 : x
  2. Step 2: Convert to fraction form
    36,994.22/80,212.78 = 80,212.78/x
  3. Step 3: Cross multiply
    36,994.22x = 80,212.78 × 80,212.78
  4. Step 4: Simplify right side
    36,994.22x = 6,434,090,275.86
  5. Step 5: Solve for x
    x = 6,434,090,275.86/36,994.22
  6. Step 6: Final answer
    x = 173,921.51

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