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Finding the Third Proportional to 51,988.50 and 109,809

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Solution

The third proportional to 51,988.50 and 109,809 is: 231,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.50 : 109,809 = 109,809 : x
  2. Step 2: Convert to fraction form
    51,988.50/109,809 = 109,809/x
  3. Step 3: Cross multiply
    51,988.50x = 109,809 × 109,809
  4. Step 4: Simplify right side
    51,988.50x = 12,058,016,481
  5. Step 5: Solve for x
    x = 12,058,016,481/51,988.50
  6. Step 6: Final answer
    x = 231,936.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.