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Finding the Third Proportional to 89,667 and 188,628.75

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Solution

The third proportional to 89,667 and 188,628.75 is: 396,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,667 : 188,628.75 = 188,628.75 : x
  2. Step 2: Convert to fraction form
    89,667/188,628.75 = 188,628.75/x
  3. Step 3: Cross multiply
    89,667x = 188,628.75 × 188,628.75
  4. Step 4: Simplify right side
    89,667x = 35,580,805,326.56
  5. Step 5: Solve for x
    x = 35,580,805,326.56/89,667
  6. Step 6: Final answer
    x = 396,810.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.