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Finding the Third Proportional to 107,734.22 and 218,546.44

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Solution

The third proportional to 107,734.22 and 218,546.44 is: 443,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,734.22 : 218,546.44 = 218,546.44 : x
  2. Step 2: Convert to fraction form
    107,734.22/218,546.44 = 218,546.44/x
  3. Step 3: Cross multiply
    107,734.22x = 218,546.44 × 218,546.44
  4. Step 4: Simplify right side
    107,734.22x = 47,762,545,343.94
  5. Step 5: Solve for x
    x = 47,762,545,343.94/107,734.22
  6. Step 6: Final answer
    x = 443,336.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.