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Finding the Third Proportional to 107,914 and 220,108

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Solution

The third proportional to 107,914 and 220,108 is: 448,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,914 : 220,108 = 220,108 : x
  2. Step 2: Convert to fraction form
    107,914/220,108 = 220,108/x
  3. Step 3: Cross multiply
    107,914x = 220,108 × 220,108
  4. Step 4: Simplify right side
    107,914x = 48,447,531,664
  5. Step 5: Solve for x
    x = 48,447,531,664/107,914
  6. Step 6: Final answer
    x = 448,945.75

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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.