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Finding the Third Proportional to 49,491.56 and 107,916.19

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Solution

The third proportional to 49,491.56 and 107,916.19 is: 235,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491.56 : 107,916.19 = 107,916.19 : x
  2. Step 2: Convert to fraction form
    49,491.56/107,916.19 = 107,916.19/x
  3. Step 3: Cross multiply
    49,491.56x = 107,916.19 × 107,916.19
  4. Step 4: Simplify right side
    49,491.56x = 11,645,903,524.54
  5. Step 5: Solve for x
    x = 11,645,903,524.54/49,491.56
  6. Step 6: Final answer
    x = 235,310.89

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Why These Related Problems?

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