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Finding the Third Proportional to 84,204 and 194,922

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Solution

The third proportional to 84,204 and 194,922 is: 451,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,204 : 194,922 = 194,922 : x
  2. Step 2: Convert to fraction form
    84,204/194,922 = 194,922/x
  3. Step 3: Cross multiply
    84,204x = 194,922 × 194,922
  4. Step 4: Simplify right side
    84,204x = 37,994,586,084
  5. Step 5: Solve for x
    x = 37,994,586,084/84,204
  6. Step 6: Final answer
    x = 451,220.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.