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Finding the Third Proportional to 107,916 and 220,114

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Solution

The third proportional to 107,916 and 220,114 is: 448,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,916 : 220,114 = 220,114 : x
  2. Step 2: Convert to fraction form
    107,916/220,114 = 220,114/x
  3. Step 3: Cross multiply
    107,916x = 220,114 × 220,114
  4. Step 4: Simplify right side
    107,916x = 48,450,172,996
  5. Step 5: Solve for x
    x = 48,450,172,996/107,916
  6. Step 6: Final answer
    x = 448,961.91

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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.