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Finding the Third Proportional to 109,686 and 227,994

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Solution

The third proportional to 109,686 and 227,994 is: 473,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,686 : 227,994 = 227,994 : x
  2. Step 2: Convert to fraction form
    109,686/227,994 = 227,994/x
  3. Step 3: Cross multiply
    109,686x = 227,994 × 227,994
  4. Step 4: Simplify right side
    109,686x = 51,981,264,036
  5. Step 5: Solve for x
    x = 51,981,264,036/109,686
  6. Step 6: Final answer
    x = 473,909.74

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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.