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Finding the Third Proportional to 90,651.75 and 192,108.75

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Solution

The third proportional to 90,651.75 and 192,108.75 is: 407,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,651.75 : 192,108.75 = 192,108.75 : x
  2. Step 2: Convert to fraction form
    90,651.75/192,108.75 = 192,108.75/x
  3. Step 3: Cross multiply
    90,651.75x = 192,108.75 × 192,108.75
  4. Step 4: Simplify right side
    90,651.75x = 36,905,771,826.56
  5. Step 5: Solve for x
    x = 36,905,771,826.56/90,651.75
  6. Step 6: Final answer
    x = 407,115.93

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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.