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Finding the Third Proportional to 96,682 and 214,100

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Solution

The third proportional to 96,682 and 214,100 is: 474,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,682 : 214,100 = 214,100 : x
  2. Step 2: Convert to fraction form
    96,682/214,100 = 214,100/x
  3. Step 3: Cross multiply
    96,682x = 214,100 × 214,100
  4. Step 4: Simplify right side
    96,682x = 45,838,810,000
  5. Step 5: Solve for x
    x = 45,838,810,000/96,682
  6. Step 6: Final answer
    x = 474,119.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.