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Finding the Third Proportional to 88,296.75 and 191,544.75

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Solution

The third proportional to 88,296.75 and 191,544.75 is: 415,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,296.75 : 191,544.75 = 191,544.75 : x
  2. Step 2: Convert to fraction form
    88,296.75/191,544.75 = 191,544.75/x
  3. Step 3: Cross multiply
    88,296.75x = 191,544.75 × 191,544.75
  4. Step 4: Simplify right side
    88,296.75x = 36,689,391,252.56
  5. Step 5: Solve for x
    x = 36,689,391,252.56/88,296.75
  6. Step 6: Final answer
    x = 415,523.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.