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Finding the Third Proportional to 89,596.13 and 192,474.56

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Solution

The third proportional to 89,596.13 and 192,474.56 is: 413,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,596.13 : 192,474.56 = 192,474.56 : x
  2. Step 2: Convert to fraction form
    89,596.13/192,474.56 = 192,474.56/x
  3. Step 3: Cross multiply
    89,596.13x = 192,474.56 × 192,474.56
  4. Step 4: Simplify right side
    89,596.13x = 37,046,457,209.57
  5. Step 5: Solve for x
    x = 37,046,457,209.57/89,596.13
  6. Step 6: Final answer
    x = 413,482.81

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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.