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Finding the Third Proportional to 49,202.25 and 101,906.25

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Solution

The third proportional to 49,202.25 and 101,906.25 is: 211,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.25 : 101,906.25 = 101,906.25 : x
  2. Step 2: Convert to fraction form
    49,202.25/101,906.25 = 101,906.25/x
  3. Step 3: Cross multiply
    49,202.25x = 101,906.25 × 101,906.25
  4. Step 4: Simplify right side
    49,202.25x = 10,384,883,789.06
  5. Step 5: Solve for x
    x = 10,384,883,789.06/49,202.25
  6. Step 6: Final answer
    x = 211,065.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.