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Finding the Third Proportional to 38,978 and 94,244

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Solution

The third proportional to 38,978 and 94,244 is: 227,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978 : 94,244 = 94,244 : x
  2. Step 2: Convert to fraction form
    38,978/94,244 = 94,244/x
  3. Step 3: Cross multiply
    38,978x = 94,244 × 94,244
  4. Step 4: Simplify right side
    38,978x = 8,881,931,536
  5. Step 5: Solve for x
    x = 8,881,931,536/38,978
  6. Step 6: Final answer
    x = 227,870.38

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.