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Finding the Third Proportional to 40,138.31 and 94,923.56

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Solution

The third proportional to 40,138.31 and 94,923.56 is: 224,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,138.31 : 94,923.56 = 94,923.56 : x
  2. Step 2: Convert to fraction form
    40,138.31/94,923.56 = 94,923.56/x
  3. Step 3: Cross multiply
    40,138.31x = 94,923.56 × 94,923.56
  4. Step 4: Simplify right side
    40,138.31x = 9,010,482,717.69
  5. Step 5: Solve for x
    x = 9,010,482,717.69/40,138.31
  6. Step 6: Final answer
    x = 224,485.84

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.