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Finding the Third Proportional to 50,279.50 and 99,290

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Solution

The third proportional to 50,279.50 and 99,290 is: 196,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,279.50 : 99,290 = 99,290 : x
  2. Step 2: Convert to fraction form
    50,279.50/99,290 = 99,290/x
  3. Step 3: Cross multiply
    50,279.50x = 99,290 × 99,290
  4. Step 4: Simplify right side
    50,279.50x = 9,858,504,100
  5. Step 5: Solve for x
    x = 9,858,504,100/50,279.50
  6. Step 6: Final answer
    x = 196,074.03

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.