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Finding the Third Proportional to 96,484.50 and 209,067.75

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Solution

The third proportional to 96,484.50 and 209,067.75 is: 453,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,484.50 : 209,067.75 = 209,067.75 : x
  2. Step 2: Convert to fraction form
    96,484.50/209,067.75 = 209,067.75/x
  3. Step 3: Cross multiply
    96,484.50x = 209,067.75 × 209,067.75
  4. Step 4: Simplify right side
    96,484.50x = 43,709,324,090.06
  5. Step 5: Solve for x
    x = 43,709,324,090.06/96,484.50
  6. Step 6: Final answer
    x = 453,019.13

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Why These Related Problems?

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