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Finding the Third Proportional to 90,188 and 192,888

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Solution

The third proportional to 90,188 and 192,888 is: 412,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,188 : 192,888 = 192,888 : x
  2. Step 2: Convert to fraction form
    90,188/192,888 = 192,888/x
  3. Step 3: Cross multiply
    90,188x = 192,888 × 192,888
  4. Step 4: Simplify right side
    90,188x = 37,205,780,544
  5. Step 5: Solve for x
    x = 37,205,780,544/90,188
  6. Step 6: Final answer
    x = 412,535.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.