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Finding the Third Proportional to 89,206.31 and 192,218.06

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Solution

The third proportional to 89,206.31 and 192,218.06 is: 414,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,206.31 : 192,218.06 = 192,218.06 : x
  2. Step 2: Convert to fraction form
    89,206.31/192,218.06 = 192,218.06/x
  3. Step 3: Cross multiply
    89,206.31x = 192,218.06 × 192,218.06
  4. Step 4: Simplify right side
    89,206.31x = 36,947,783,551.25
  5. Step 5: Solve for x
    x = 36,947,783,551.25/89,206.31
  6. Step 6: Final answer
    x = 414,183.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.