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Finding the Third Proportional to 96,966 and 209,232

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Solution

The third proportional to 96,966 and 209,232 is: 451,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966 : 209,232 = 209,232 : x
  2. Step 2: Convert to fraction form
    96,966/209,232 = 209,232/x
  3. Step 3: Cross multiply
    96,966x = 209,232 × 209,232
  4. Step 4: Simplify right side
    96,966x = 43,778,029,824
  5. Step 5: Solve for x
    x = 43,778,029,824/96,966
  6. Step 6: Final answer
    x = 451,478.15

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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.