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Finding the Third Proportional to 49,383.75 and 108,613.50

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Solution

The third proportional to 49,383.75 and 108,613.50 is: 238,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383.75 : 108,613.50 = 108,613.50 : x
  2. Step 2: Convert to fraction form
    49,383.75/108,613.50 = 108,613.50/x
  3. Step 3: Cross multiply
    49,383.75x = 108,613.50 × 108,613.50
  4. Step 4: Simplify right side
    49,383.75x = 11,796,892,382.25
  5. Step 5: Solve for x
    x = 11,796,892,382.25/49,383.75
  6. Step 6: Final answer
    x = 238,882.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.