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Finding the Third Proportional to 49,924.69 and 108,597.38

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Solution

The third proportional to 49,924.69 and 108,597.38 is: 236,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924.69 : 108,597.38 = 108,597.38 : x
  2. Step 2: Convert to fraction form
    49,924.69/108,597.38 = 108,597.38/x
  3. Step 3: Cross multiply
    49,924.69x = 108,597.38 × 108,597.38
  4. Step 4: Simplify right side
    49,924.69x = 11,793,389,856.89
  5. Step 5: Solve for x
    x = 11,793,389,856.89/49,924.69
  6. Step 6: Final answer
    x = 236,223.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.