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Finding the Third Proportional to 49,323.38 and 106,946.44

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Solution

The third proportional to 49,323.38 and 106,946.44 is: 231,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,323.38 : 106,946.44 = 106,946.44 : x
  2. Step 2: Convert to fraction form
    49,323.38/106,946.44 = 106,946.44/x
  3. Step 3: Cross multiply
    49,323.38x = 106,946.44 × 106,946.44
  4. Step 4: Simplify right side
    49,323.38x = 11,437,540,493.94
  5. Step 5: Solve for x
    x = 11,437,540,493.94/49,323.38
  6. Step 6: Final answer
    x = 231,888.85

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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.