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Finding the Third Proportional to 102,206 and 219,950

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Solution

The third proportional to 102,206 and 219,950 is: 473,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206 : 219,950 = 219,950 : x
  2. Step 2: Convert to fraction form
    102,206/219,950 = 219,950/x
  3. Step 3: Cross multiply
    102,206x = 219,950 × 219,950
  4. Step 4: Simplify right side
    102,206x = 48,378,002,500
  5. Step 5: Solve for x
    x = 48,378,002,500/102,206
  6. Step 6: Final answer
    x = 473,338.18

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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.