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Finding the Third Proportional to 109,269 and 226,122.75

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Solution

The third proportional to 109,269 and 226,122.75 is: 467,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269 : 226,122.75 = 226,122.75 : x
  2. Step 2: Convert to fraction form
    109,269/226,122.75 = 226,122.75/x
  3. Step 3: Cross multiply
    109,269x = 226,122.75 × 226,122.75
  4. Step 4: Simplify right side
    109,269x = 51,131,498,067.56
  5. Step 5: Solve for x
    x = 51,131,498,067.56/109,269
  6. Step 6: Final answer
    x = 467,941.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.