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Finding the Third Proportional to 87,996.38 and 180,093.38

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Solution

The third proportional to 87,996.38 and 180,093.38 is: 368,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996.38 : 180,093.38 = 180,093.38 : x
  2. Step 2: Convert to fraction form
    87,996.38/180,093.38 = 180,093.38/x
  3. Step 3: Cross multiply
    87,996.38x = 180,093.38 × 180,093.38
  4. Step 4: Simplify right side
    87,996.38x = 32,433,623,718.89
  5. Step 5: Solve for x
    x = 32,433,623,718.89/87,996.38
  6. Step 6: Final answer
    x = 368,579.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.