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Finding the Third Proportional to 107,922 and 220,125

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Solution

The third proportional to 107,922 and 220,125 is: 448,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,922 : 220,125 = 220,125 : x
  2. Step 2: Convert to fraction form
    107,922/220,125 = 220,125/x
  3. Step 3: Cross multiply
    107,922x = 220,125 × 220,125
  4. Step 4: Simplify right side
    107,922x = 48,455,015,625
  5. Step 5: Solve for x
    x = 48,455,015,625/107,922
  6. Step 6: Final answer
    x = 448,981.82

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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.