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Finding the Third Proportional to 49,496.06 and 107,927.44

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Solution

The third proportional to 49,496.06 and 107,927.44 is: 235,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496.06 : 107,927.44 = 107,927.44 : x
  2. Step 2: Convert to fraction form
    49,496.06/107,927.44 = 107,927.44/x
  3. Step 3: Cross multiply
    49,496.06x = 107,927.44 × 107,927.44
  4. Step 4: Simplify right side
    49,496.06x = 11,648,331,765.32
  5. Step 5: Solve for x
    x = 11,648,331,765.32/49,496.06
  6. Step 6: Final answer
    x = 235,338.55

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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.