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Finding the Third Proportional to 107,780.20 and 226,722.80

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Solution

The third proportional to 107,780.20 and 226,722.80 is: 476,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,780.20 : 226,722.80 = 226,722.80 : x
  2. Step 2: Convert to fraction form
    107,780.20/226,722.80 = 226,722.80/x
  3. Step 3: Cross multiply
    107,780.20x = 226,722.80 × 226,722.80
  4. Step 4: Simplify right side
    107,780.20x = 51,403,226,622.82
  5. Step 5: Solve for x
    x = 51,403,226,622.82/107,780.20
  6. Step 6: Final answer
    x = 476,926.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.