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Finding the Third Proportional to 96,772 and 209,113

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Solution

The third proportional to 96,772 and 209,113 is: 451,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772 : 209,113 = 209,113 : x
  2. Step 2: Convert to fraction form
    96,772/209,113 = 209,113/x
  3. Step 3: Cross multiply
    96,772x = 209,113 × 209,113
  4. Step 4: Simplify right side
    96,772x = 43,728,246,769
  5. Step 5: Solve for x
    x = 43,728,246,769/96,772
  6. Step 6: Final answer
    x = 451,868.79

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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.