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Finding the Third Proportional to 87,524.25 and 190,889.63

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Solution

The third proportional to 87,524.25 and 190,889.63 is: 416,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524.25 : 190,889.63 = 190,889.63 : x
  2. Step 2: Convert to fraction form
    87,524.25/190,889.63 = 190,889.63/x
  3. Step 3: Cross multiply
    87,524.25x = 190,889.63 × 190,889.63
  4. Step 4: Simplify right side
    87,524.25x = 36,438,848,932.64
  5. Step 5: Solve for x
    x = 36,438,848,932.64/87,524.25
  6. Step 6: Final answer
    x = 416,328.61

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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.