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Finding the Third Proportional to 103,843.50 and 225,183

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Solution

The third proportional to 103,843.50 and 225,183 is: 488,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,843.50 : 225,183 = 225,183 : x
  2. Step 2: Convert to fraction form
    103,843.50/225,183 = 225,183/x
  3. Step 3: Cross multiply
    103,843.50x = 225,183 × 225,183
  4. Step 4: Simplify right side
    103,843.50x = 50,707,383,489
  5. Step 5: Solve for x
    x = 50,707,383,489/103,843.50
  6. Step 6: Final answer
    x = 488,305.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.