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Finding the Third Proportional to 97,891.50 and 213,759

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Solution

The third proportional to 97,891.50 and 213,759 is: 466,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,891.50 : 213,759 = 213,759 : x
  2. Step 2: Convert to fraction form
    97,891.50/213,759 = 213,759/x
  3. Step 3: Cross multiply
    97,891.50x = 213,759 × 213,759
  4. Step 4: Simplify right side
    97,891.50x = 45,692,910,081
  5. Step 5: Solve for x
    x = 45,692,910,081/97,891.50
  6. Step 6: Final answer
    x = 466,770.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.