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Finding the Third Proportional to 101,196 and 217,698

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Solution

The third proportional to 101,196 and 217,698 is: 468,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,196 : 217,698 = 217,698 : x
  2. Step 2: Convert to fraction form
    101,196/217,698 = 217,698/x
  3. Step 3: Cross multiply
    101,196x = 217,698 × 217,698
  4. Step 4: Simplify right side
    101,196x = 47,392,419,204
  5. Step 5: Solve for x
    x = 47,392,419,204/101,196
  6. Step 6: Final answer
    x = 468,323.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.