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Finding the Third Proportional to 90,645.75 and 192,096.84

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Solution

The third proportional to 90,645.75 and 192,096.84 is: 407,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645.75 : 192,096.84 = 192,096.84 : x
  2. Step 2: Convert to fraction form
    90,645.75/192,096.84 = 192,096.84/x
  3. Step 3: Cross multiply
    90,645.75x = 192,096.84 × 192,096.84
  4. Step 4: Simplify right side
    90,645.75x = 36,901,197,378.71
  5. Step 5: Solve for x
    x = 36,901,197,378.71/90,645.75
  6. Step 6: Final answer
    x = 407,092.42

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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.