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Finding the Third Proportional to 49,797 and 104,211

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Solution

The third proportional to 49,797 and 104,211 is: 218,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797 : 104,211 = 104,211 : x
  2. Step 2: Convert to fraction form
    49,797/104,211 = 104,211/x
  3. Step 3: Cross multiply
    49,797x = 104,211 × 104,211
  4. Step 4: Simplify right side
    49,797x = 10,859,932,521
  5. Step 5: Solve for x
    x = 10,859,932,521/49,797
  6. Step 6: Final answer
    x = 218,084.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.