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Finding the Third Proportional to 107,118 and 219,150

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Solution

The third proportional to 107,118 and 219,150 is: 448,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,118 : 219,150 = 219,150 : x
  2. Step 2: Convert to fraction form
    107,118/219,150 = 219,150/x
  3. Step 3: Cross multiply
    107,118x = 219,150 × 219,150
  4. Step 4: Simplify right side
    107,118x = 48,026,722,500
  5. Step 5: Solve for x
    x = 48,026,722,500/107,118
  6. Step 6: Final answer
    x = 448,353.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.