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Finding the Third Proportional to 94,116.94 and 205,380.56

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Solution

The third proportional to 94,116.94 and 205,380.56 is: 448,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,116.94 : 205,380.56 = 205,380.56 : x
  2. Step 2: Convert to fraction form
    94,116.94/205,380.56 = 205,380.56/x
  3. Step 3: Cross multiply
    94,116.94x = 205,380.56 × 205,380.56
  4. Step 4: Simplify right side
    94,116.94x = 42,181,175,452.82
  5. Step 5: Solve for x
    x = 42,181,175,452.82/94,116.94
  6. Step 6: Final answer
    x = 448,178.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.