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Finding the Third Proportional to 49,808 and 107,914

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Solution

The third proportional to 49,808 and 107,914 is: 233,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,808 : 107,914 = 107,914 : x
  2. Step 2: Convert to fraction form
    49,808/107,914 = 107,914/x
  3. Step 3: Cross multiply
    49,808x = 107,914 × 107,914
  4. Step 4: Simplify right side
    49,808x = 11,645,431,396
  5. Step 5: Solve for x
    x = 11,645,431,396/49,808
  6. Step 6: Final answer
    x = 233,806.44

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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.