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Finding the Third Proportional to 109,666 and 227,950

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Solution

The third proportional to 109,666 and 227,950 is: 473,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,666 : 227,950 = 227,950 : x
  2. Step 2: Convert to fraction form
    109,666/227,950 = 227,950/x
  3. Step 3: Cross multiply
    109,666x = 227,950 × 227,950
  4. Step 4: Simplify right side
    109,666x = 51,961,202,500
  5. Step 5: Solve for x
    x = 51,961,202,500/109,666
  6. Step 6: Final answer
    x = 473,813.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.