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Finding the Third Proportional to 103,956.50 and 227,801

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Solution

The third proportional to 103,956.50 and 227,801 is: 499,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.50 : 227,801 = 227,801 : x
  2. Step 2: Convert to fraction form
    103,956.50/227,801 = 227,801/x
  3. Step 3: Cross multiply
    103,956.50x = 227,801 × 227,801
  4. Step 4: Simplify right side
    103,956.50x = 51,893,295,601
  5. Step 5: Solve for x
    x = 51,893,295,601/103,956.50
  6. Step 6: Final answer
    x = 499,182.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.