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Finding the Third Proportional to 90,647 and 192,099

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Solution

The third proportional to 90,647 and 192,099 is: 407,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,647 : 192,099 = 192,099 : x
  2. Step 2: Convert to fraction form
    90,647/192,099 = 192,099/x
  3. Step 3: Cross multiply
    90,647x = 192,099 × 192,099
  4. Step 4: Simplify right side
    90,647x = 36,902,025,801
  5. Step 5: Solve for x
    x = 36,902,025,801/90,647
  6. Step 6: Final answer
    x = 407,095.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.