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Finding the Third Proportional to 80,738.02 and 188,580.66

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Solution

The third proportional to 80,738.02 and 188,580.66 is: 440,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,738.02 : 188,580.66 = 188,580.66 : x
  2. Step 2: Convert to fraction form
    80,738.02/188,580.66 = 188,580.66/x
  3. Step 3: Cross multiply
    80,738.02x = 188,580.66 × 188,580.66
  4. Step 4: Simplify right side
    80,738.02x = 35,562,663,911.68
  5. Step 5: Solve for x
    x = 35,562,663,911.68/80,738.02
  6. Step 6: Final answer
    x = 440,469.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.