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Finding the Third Proportional to 101,314 and 219,800

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Solution

The third proportional to 101,314 and 219,800 is: 476,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,314 : 219,800 = 219,800 : x
  2. Step 2: Convert to fraction form
    101,314/219,800 = 219,800/x
  3. Step 3: Cross multiply
    101,314x = 219,800 × 219,800
  4. Step 4: Simplify right side
    101,314x = 48,312,040,000
  5. Step 5: Solve for x
    x = 48,312,040,000/101,314
  6. Step 6: Final answer
    x = 476,854.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.