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Finding the Third Proportional to 107,068 and 226,192

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Solution

The third proportional to 107,068 and 226,192 is: 477,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,068 : 226,192 = 226,192 : x
  2. Step 2: Convert to fraction form
    107,068/226,192 = 226,192/x
  3. Step 3: Cross multiply
    107,068x = 226,192 × 226,192
  4. Step 4: Simplify right side
    107,068x = 51,162,820,864
  5. Step 5: Solve for x
    x = 51,162,820,864/107,068
  6. Step 6: Final answer
    x = 477,853.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.