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Finding the Third Proportional to 36,470.25 and 77,992.88

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Solution

The third proportional to 36,470.25 and 77,992.88 is: 166,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470.25 : 77,992.88 = 77,992.88 : x
  2. Step 2: Convert to fraction form
    36,470.25/77,992.88 = 77,992.88/x
  3. Step 3: Cross multiply
    36,470.25x = 77,992.88 × 77,992.88
  4. Step 4: Simplify right side
    36,470.25x = 6,082,888,550.77
  5. Step 5: Solve for x
    x = 6,082,888,550.77/36,470.25
  6. Step 6: Final answer
    x = 166,790.43

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