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Finding the Third Proportional to 42,392.25 and 91,343.25

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Solution

The third proportional to 42,392.25 and 91,343.25 is: 196,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,392.25 : 91,343.25 = 91,343.25 : x
  2. Step 2: Convert to fraction form
    42,392.25/91,343.25 = 91,343.25/x
  3. Step 3: Cross multiply
    42,392.25x = 91,343.25 × 91,343.25
  4. Step 4: Simplify right side
    42,392.25x = 8,343,589,320.56
  5. Step 5: Solve for x
    x = 8,343,589,320.56/42,392.25
  6. Step 6: Final answer
    x = 196,818.74

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