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Finding the Third Proportional to 101,863.50 and 219,325

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Solution

The third proportional to 101,863.50 and 219,325 is: 472,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,863.50 : 219,325 = 219,325 : x
  2. Step 2: Convert to fraction form
    101,863.50/219,325 = 219,325/x
  3. Step 3: Cross multiply
    101,863.50x = 219,325 × 219,325
  4. Step 4: Simplify right side
    101,863.50x = 48,103,455,625
  5. Step 5: Solve for x
    x = 48,103,455,625/101,863.50
  6. Step 6: Final answer
    x = 472,234.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.