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Finding the Third Proportional to 87,960.94 and 192,056.06

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Solution

The third proportional to 87,960.94 and 192,056.06 is: 419,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,960.94 : 192,056.06 = 192,056.06 : x
  2. Step 2: Convert to fraction form
    87,960.94/192,056.06 = 192,056.06/x
  3. Step 3: Cross multiply
    87,960.94x = 192,056.06 × 192,056.06
  4. Step 4: Simplify right side
    87,960.94x = 36,885,531,143.00
  5. Step 5: Solve for x
    x = 36,885,531,143.00/87,960.94
  6. Step 6: Final answer
    x = 419,339.90

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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.