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Finding the Third Proportional to 49,311.28 and 107,848.97

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Solution

The third proportional to 49,311.28 and 107,848.97 is: 235,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311.28 : 107,848.97 = 107,848.97 : x
  2. Step 2: Convert to fraction form
    49,311.28/107,848.97 = 107,848.97/x
  3. Step 3: Cross multiply
    49,311.28x = 107,848.97 × 107,848.97
  4. Step 4: Simplify right side
    49,311.28x = 11,631,400,060.44
  5. Step 5: Solve for x
    x = 11,631,400,060.44/49,311.28
  6. Step 6: Final answer
    x = 235,877.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.