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Finding the Third Proportional to 95,019.75 and 206,578.27

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Solution

The third proportional to 95,019.75 and 206,578.27 is: 449,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,019.75 : 206,578.27 = 206,578.27 : x
  2. Step 2: Convert to fraction form
    95,019.75/206,578.27 = 206,578.27/x
  3. Step 3: Cross multiply
    95,019.75x = 206,578.27 × 206,578.27
  4. Step 4: Simplify right side
    95,019.75x = 42,674,579,828.63
  5. Step 5: Solve for x
    x = 42,674,579,828.63/95,019.75
  6. Step 6: Final answer
    x = 449,112.74

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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.