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Finding the Third Proportional to 94,118 and 206,896

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Solution

The third proportional to 94,118 and 206,896 is: 454,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,118 : 206,896 = 206,896 : x
  2. Step 2: Convert to fraction form
    94,118/206,896 = 206,896/x
  3. Step 3: Cross multiply
    94,118x = 206,896 × 206,896
  4. Step 4: Simplify right side
    94,118x = 42,805,954,816
  5. Step 5: Solve for x
    x = 42,805,954,816/94,118
  6. Step 6: Final answer
    x = 454,811.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.