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Finding the Third Proportional to 43,013 and 91,858

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Solution

The third proportional to 43,013 and 91,858 is: 196,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,013 : 91,858 = 91,858 : x
  2. Step 2: Convert to fraction form
    43,013/91,858 = 91,858/x
  3. Step 3: Cross multiply
    43,013x = 91,858 × 91,858
  4. Step 4: Simplify right side
    43,013x = 8,437,892,164
  5. Step 5: Solve for x
    x = 8,437,892,164/43,013
  6. Step 6: Final answer
    x = 196,170.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.