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Finding the Third Proportional to 96,996 and 209,283

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Solution

The third proportional to 96,996 and 209,283 is: 451,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,996 : 209,283 = 209,283 : x
  2. Step 2: Convert to fraction form
    96,996/209,283 = 209,283/x
  3. Step 3: Cross multiply
    96,996x = 209,283 × 209,283
  4. Step 4: Simplify right side
    96,996x = 43,799,374,089
  5. Step 5: Solve for x
    x = 43,799,374,089/96,996
  6. Step 6: Final answer
    x = 451,558.56

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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.