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Finding the Third Proportional to 49,321.69 and 107,868.94

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Solution

The third proportional to 49,321.69 and 107,868.94 is: 235,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321.69 : 107,868.94 = 107,868.94 : x
  2. Step 2: Convert to fraction form
    49,321.69/107,868.94 = 107,868.94/x
  3. Step 3: Cross multiply
    49,321.69x = 107,868.94 × 107,868.94
  4. Step 4: Simplify right side
    49,321.69x = 11,635,707,677.38
  5. Step 5: Solve for x
    x = 11,635,707,677.38/49,321.69
  6. Step 6: Final answer
    x = 235,914.63

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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.