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Finding the Third Proportional to 101,984 and 217,980

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Solution

The third proportional to 101,984 and 217,980 is: 465,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984 : 217,980 = 217,980 : x
  2. Step 2: Convert to fraction form
    101,984/217,980 = 217,980/x
  3. Step 3: Cross multiply
    101,984x = 217,980 × 217,980
  4. Step 4: Simplify right side
    101,984x = 47,515,280,400
  5. Step 5: Solve for x
    x = 47,515,280,400/101,984
  6. Step 6: Final answer
    x = 465,909.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.