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Finding the Third Proportional to 96,928 and 209,132

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Solution

The third proportional to 96,928 and 209,132 is: 451,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,928 : 209,132 = 209,132 : x
  2. Step 2: Convert to fraction form
    96,928/209,132 = 209,132/x
  3. Step 3: Cross multiply
    96,928x = 209,132 × 209,132
  4. Step 4: Simplify right side
    96,928x = 43,736,193,424
  5. Step 5: Solve for x
    x = 43,736,193,424/96,928
  6. Step 6: Final answer
    x = 451,223.52

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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.