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Finding the Third Proportional to 96,990 and 208,736

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Solution

The third proportional to 96,990 and 208,736 is: 449,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,990 : 208,736 = 208,736 : x
  2. Step 2: Convert to fraction form
    96,990/208,736 = 208,736/x
  3. Step 3: Cross multiply
    96,990x = 208,736 × 208,736
  4. Step 4: Simplify right side
    96,990x = 43,570,717,696
  5. Step 5: Solve for x
    x = 43,570,717,696/96,990
  6. Step 6: Final answer
    x = 449,228.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.