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Finding the Third Proportional to 107,908 and 220,096

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Solution

The third proportional to 107,908 and 220,096 is: 448,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,908 : 220,096 = 220,096 : x
  2. Step 2: Convert to fraction form
    107,908/220,096 = 220,096/x
  3. Step 3: Cross multiply
    107,908x = 220,096 × 220,096
  4. Step 4: Simplify right side
    107,908x = 48,442,249,216
  5. Step 5: Solve for x
    x = 48,442,249,216/107,908
  6. Step 6: Final answer
    x = 448,921.76

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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.