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Finding the Third Proportional to 42,374.39 and 91,236.38

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Solution

The third proportional to 42,374.39 and 91,236.38 is: 196,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,374.39 : 91,236.38 = 91,236.38 : x
  2. Step 2: Convert to fraction form
    42,374.39/91,236.38 = 91,236.38/x
  3. Step 3: Cross multiply
    42,374.39x = 91,236.38 × 91,236.38
  4. Step 4: Simplify right side
    42,374.39x = 8,324,076,123.14
  5. Step 5: Solve for x
    x = 8,324,076,123.14/42,374.39
  6. Step 6: Final answer
    x = 196,441.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.