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Finding the Third Proportional to 49,033.13 and 105,842.25

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Solution

The third proportional to 49,033.13 and 105,842.25 is: 228,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,033.13 : 105,842.25 = 105,842.25 : x
  2. Step 2: Convert to fraction form
    49,033.13/105,842.25 = 105,842.25/x
  3. Step 3: Cross multiply
    49,033.13x = 105,842.25 × 105,842.25
  4. Step 4: Simplify right side
    49,033.13x = 11,202,581,885.06
  5. Step 5: Solve for x
    x = 11,202,581,885.06/49,033.13
  6. Step 6: Final answer
    x = 228,469.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.