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Finding the Third Proportional to 98,714 and 217,102

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Solution

The third proportional to 98,714 and 217,102 is: 477,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714 : 217,102 = 217,102 : x
  2. Step 2: Convert to fraction form
    98,714/217,102 = 217,102/x
  3. Step 3: Cross multiply
    98,714x = 217,102 × 217,102
  4. Step 4: Simplify right side
    98,714x = 47,133,278,404
  5. Step 5: Solve for x
    x = 47,133,278,404/98,714
  6. Step 6: Final answer
    x = 477,473.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.