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Finding the Third Proportional to 98,191.50 and 215,499

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Solution

The third proportional to 98,191.50 and 215,499 is: 472,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,191.50 : 215,499 = 215,499 : x
  2. Step 2: Convert to fraction form
    98,191.50/215,499 = 215,499/x
  3. Step 3: Cross multiply
    98,191.50x = 215,499 × 215,499
  4. Step 4: Simplify right side
    98,191.50x = 46,439,819,001
  5. Step 5: Solve for x
    x = 46,439,819,001/98,191.50
  6. Step 6: Final answer
    x = 472,951.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.