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Finding the Third Proportional to 94,950 and 204,948

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Solution

The third proportional to 94,950 and 204,948 is: 442,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,950 : 204,948 = 204,948 : x
  2. Step 2: Convert to fraction form
    94,950/204,948 = 204,948/x
  3. Step 3: Cross multiply
    94,950x = 204,948 × 204,948
  4. Step 4: Simplify right side
    94,950x = 42,003,682,704
  5. Step 5: Solve for x
    x = 42,003,682,704/94,950
  6. Step 6: Final answer
    x = 442,376.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.