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Finding the Third Proportional to 90,581.63 and 192,857.63

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Solution

The third proportional to 90,581.63 and 192,857.63 is: 410,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,581.63 : 192,857.63 = 192,857.63 : x
  2. Step 2: Convert to fraction form
    90,581.63/192,857.63 = 192,857.63/x
  3. Step 3: Cross multiply
    90,581.63x = 192,857.63 × 192,857.63
  4. Step 4: Simplify right side
    90,581.63x = 37,194,063,520.64
  5. Step 5: Solve for x
    x = 37,194,063,520.64/90,581.63
  6. Step 6: Final answer
    x = 410,613.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.