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Finding the Third Proportional to 193,460.91 and 217,449.56

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Solution

The third proportional to 193,460.91 and 217,449.56 is: 244,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,460.91 : 217,449.56 = 217,449.56 : x
  2. Step 2: Convert to fraction form
    193,460.91/217,449.56 = 217,449.56/x
  3. Step 3: Cross multiply
    193,460.91x = 217,449.56 × 217,449.56
  4. Step 4: Simplify right side
    193,460.91x = 47,284,312,231.44
  5. Step 5: Solve for x
    x = 47,284,312,231.44/193,460.91
  6. Step 6: Final answer
    x = 244,412.75

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.