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Finding the Third Proportional to 47,990 and 105,496

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Solution

The third proportional to 47,990 and 105,496 is: 231,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,990 : 105,496 = 105,496 : x
  2. Step 2: Convert to fraction form
    47,990/105,496 = 105,496/x
  3. Step 3: Cross multiply
    47,990x = 105,496 × 105,496
  4. Step 4: Simplify right side
    47,990x = 11,129,406,016
  5. Step 5: Solve for x
    x = 11,129,406,016/47,990
  6. Step 6: Final answer
    x = 231,910.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.