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Finding the Third Proportional to 196,921.13 and 217,221.75

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Solution

The third proportional to 196,921.13 and 217,221.75 is: 239,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,921.13 : 217,221.75 = 217,221.75 : x
  2. Step 2: Convert to fraction form
    196,921.13/217,221.75 = 217,221.75/x
  3. Step 3: Cross multiply
    196,921.13x = 217,221.75 × 217,221.75
  4. Step 4: Simplify right side
    196,921.13x = 47,185,288,673.06
  5. Step 5: Solve for x
    x = 47,185,288,673.06/196,921.13
  6. Step 6: Final answer
    x = 239,615.17

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.