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Finding the Third Proportional to 49,480.88 and 107,842.13

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Solution

The third proportional to 49,480.88 and 107,842.13 is: 235,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,480.88 : 107,842.13 = 107,842.13 : x
  2. Step 2: Convert to fraction form
    49,480.88/107,842.13 = 107,842.13/x
  3. Step 3: Cross multiply
    49,480.88x = 107,842.13 × 107,842.13
  4. Step 4: Simplify right side
    49,480.88x = 11,629,923,924.52
  5. Step 5: Solve for x
    x = 11,629,923,924.52/49,480.88
  6. Step 6: Final answer
    x = 235,038.77

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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.