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Finding the Third Proportional to 49,512.38 and 106,916

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Solution

The third proportional to 49,512.38 and 106,916 is: 230,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,512.38 : 106,916 = 106,916 : x
  2. Step 2: Convert to fraction form
    49,512.38/106,916 = 106,916/x
  3. Step 3: Cross multiply
    49,512.38x = 106,916 × 106,916
  4. Step 4: Simplify right side
    49,512.38x = 11,431,031,056
  5. Step 5: Solve for x
    x = 11,431,031,056/49,512.38
  6. Step 6: Final answer
    x = 230,872.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.