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Finding the Third Proportional to 95,019.50 and 206,578

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Solution

The third proportional to 95,019.50 and 206,578 is: 449,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,019.50 : 206,578 = 206,578 : x
  2. Step 2: Convert to fraction form
    95,019.50/206,578 = 206,578/x
  3. Step 3: Cross multiply
    95,019.50x = 206,578 × 206,578
  4. Step 4: Simplify right side
    95,019.50x = 42,674,470,084
  5. Step 5: Solve for x
    x = 42,674,470,084/95,019.50
  6. Step 6: Final answer
    x = 449,112.76

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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.