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Finding the Third Proportional to 49,504.50 and 108,366

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Solution

The third proportional to 49,504.50 and 108,366 is: 237,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,504.50 : 108,366 = 108,366 : x
  2. Step 2: Convert to fraction form
    49,504.50/108,366 = 108,366/x
  3. Step 3: Cross multiply
    49,504.50x = 108,366 × 108,366
  4. Step 4: Simplify right side
    49,504.50x = 11,743,189,956
  5. Step 5: Solve for x
    x = 11,743,189,956/49,504.50
  6. Step 6: Final answer
    x = 237,214.60

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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.