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Finding the Third Proportional to 107,650.50 and 231,753

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Solution

The third proportional to 107,650.50 and 231,753 is: 498,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,650.50 : 231,753 = 231,753 : x
  2. Step 2: Convert to fraction form
    107,650.50/231,753 = 231,753/x
  3. Step 3: Cross multiply
    107,650.50x = 231,753 × 231,753
  4. Step 4: Simplify right side
    107,650.50x = 53,709,453,009
  5. Step 5: Solve for x
    x = 53,709,453,009/107,650.50
  6. Step 6: Final answer
    x = 498,924.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.