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Finding the Third Proportional to 49,809 and 107,916

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Solution

The third proportional to 49,809 and 107,916 is: 233,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809 : 107,916 = 107,916 : x
  2. Step 2: Convert to fraction form
    49,809/107,916 = 107,916/x
  3. Step 3: Cross multiply
    49,809x = 107,916 × 107,916
  4. Step 4: Simplify right side
    49,809x = 11,645,863,056
  5. Step 5: Solve for x
    x = 11,645,863,056/49,809
  6. Step 6: Final answer
    x = 233,810.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.