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Finding the Third Proportional to 106,997.84 and 225,930.20

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Solution

The third proportional to 106,997.84 and 225,930.20 is: 477,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.84 : 225,930.20 = 225,930.20 : x
  2. Step 2: Convert to fraction form
    106,997.84/225,930.20 = 225,930.20/x
  3. Step 3: Cross multiply
    106,997.84x = 225,930.20 × 225,930.20
  4. Step 4: Simplify right side
    106,997.84x = 51,044,454,919.02
  5. Step 5: Solve for x
    x = 51,044,454,919.02/106,997.84
  6. Step 6: Final answer
    x = 477,060.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.