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Finding the Third Proportional to 49,521.38 and 103,146.75

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Solution

The third proportional to 49,521.38 and 103,146.75 is: 214,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,521.38 : 103,146.75 = 103,146.75 : x
  2. Step 2: Convert to fraction form
    49,521.38/103,146.75 = 103,146.75/x
  3. Step 3: Cross multiply
    49,521.38x = 103,146.75 × 103,146.75
  4. Step 4: Simplify right side
    49,521.38x = 10,639,252,035.56
  5. Step 5: Solve for x
    x = 10,639,252,035.56/49,521.38
  6. Step 6: Final answer
    x = 214,841.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.