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Finding the Third Proportional to 42,909.75 and 91,352.81

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Solution

The third proportional to 42,909.75 and 91,352.81 is: 194,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.75 : 91,352.81 = 91,352.81 : x
  2. Step 2: Convert to fraction form
    42,909.75/91,352.81 = 91,352.81/x
  3. Step 3: Cross multiply
    42,909.75x = 91,352.81 × 91,352.81
  4. Step 4: Simplify right side
    42,909.75x = 8,345,336,351.66
  5. Step 5: Solve for x
    x = 8,345,336,351.66/42,909.75
  6. Step 6: Final answer
    x = 194,485.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.