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Finding the Third Proportional to 94,251.94 and 205,089.05

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Solution

The third proportional to 94,251.94 and 205,089.05 is: 446,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,251.94 : 205,089.05 = 205,089.05 : x
  2. Step 2: Convert to fraction form
    94,251.94/205,089.05 = 205,089.05/x
  3. Step 3: Cross multiply
    94,251.94x = 205,089.05 × 205,089.05
  4. Step 4: Simplify right side
    94,251.94x = 42,061,517,148.10
  5. Step 5: Solve for x
    x = 42,061,517,148.10/94,251.94
  6. Step 6: Final answer
    x = 446,266.87

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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.