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Finding the Third Proportional to 96,864.75 and 209,019.75

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Solution

The third proportional to 96,864.75 and 209,019.75 is: 451,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864.75 : 209,019.75 = 209,019.75 : x
  2. Step 2: Convert to fraction form
    96,864.75/209,019.75 = 209,019.75/x
  3. Step 3: Cross multiply
    96,864.75x = 209,019.75 × 209,019.75
  4. Step 4: Simplify right side
    96,864.75x = 43,689,255,890.06
  5. Step 5: Solve for x
    x = 43,689,255,890.06/96,864.75
  6. Step 6: Final answer
    x = 451,033.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.