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Finding the Third Proportional to 42,119.58 and 91,619.86

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Solution

The third proportional to 42,119.58 and 91,619.86 is: 199,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,119.58 : 91,619.86 = 91,619.86 : x
  2. Step 2: Convert to fraction form
    42,119.58/91,619.86 = 91,619.86/x
  3. Step 3: Cross multiply
    42,119.58x = 91,619.86 × 91,619.86
  4. Step 4: Simplify right side
    42,119.58x = 8,394,198,631.89
  5. Step 5: Solve for x
    x = 8,394,198,631.89/42,119.58
  6. Step 6: Final answer
    x = 199,294.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.