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Finding the Third Proportional to 49,764.94 and 108,277.88

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Solution

The third proportional to 49,764.94 and 108,277.88 is: 235,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764.94 : 108,277.88 = 108,277.88 : x
  2. Step 2: Convert to fraction form
    49,764.94/108,277.88 = 108,277.88/x
  3. Step 3: Cross multiply
    49,764.94x = 108,277.88 × 108,277.88
  4. Step 4: Simplify right side
    49,764.94x = 11,724,098,214.52
  5. Step 5: Solve for x
    x = 11,724,098,214.52/49,764.94
  6. Step 6: Final answer
    x = 235,589.53

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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.