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Finding the Third Proportional to 107,912 and 220,104

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Solution

The third proportional to 107,912 and 220,104 is: 448,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912 : 220,104 = 220,104 : x
  2. Step 2: Convert to fraction form
    107,912/220,104 = 220,104/x
  3. Step 3: Cross multiply
    107,912x = 220,104 × 220,104
  4. Step 4: Simplify right side
    107,912x = 48,445,770,816
  5. Step 5: Solve for x
    x = 48,445,770,816/107,912
  6. Step 6: Final answer
    x = 448,937.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.