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Finding the Third Proportional to 42,367.22 and 91,294.59

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Solution

The third proportional to 42,367.22 and 91,294.59 is: 196,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,367.22 : 91,294.59 = 91,294.59 : x
  2. Step 2: Convert to fraction form
    42,367.22/91,294.59 = 91,294.59/x
  3. Step 3: Cross multiply
    42,367.22x = 91,294.59 × 91,294.59
  4. Step 4: Simplify right side
    42,367.22x = 8,334,702,847.98
  5. Step 5: Solve for x
    x = 8,334,702,847.98/42,367.22
  6. Step 6: Final answer
    x = 196,725.28

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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.