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Finding the Third Proportional to 50,794.88 and 116,821.69

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Solution

The third proportional to 50,794.88 and 116,821.69 is: 268,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794.88 : 116,821.69 = 116,821.69 : x
  2. Step 2: Convert to fraction form
    50,794.88/116,821.69 = 116,821.69/x
  3. Step 3: Cross multiply
    50,794.88x = 116,821.69 × 116,821.69
  4. Step 4: Simplify right side
    50,794.88x = 13,647,306,670.35
  5. Step 5: Solve for x
    x = 13,647,306,670.35/50,794.88
  6. Step 6: Final answer
    x = 268,674.87

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.