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Finding the Third Proportional to 43,012 and 101,197.75

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Solution

The third proportional to 43,012 and 101,197.75 is: 238,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,012 : 101,197.75 = 101,197.75 : x
  2. Step 2: Convert to fraction form
    43,012/101,197.75 = 101,197.75/x
  3. Step 3: Cross multiply
    43,012x = 101,197.75 × 101,197.75
  4. Step 4: Simplify right side
    43,012x = 10,240,984,605.06
  5. Step 5: Solve for x
    x = 10,240,984,605.06/43,012
  6. Step 6: Final answer
    x = 238,095.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.