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Finding the Third Proportional to 47,744.44 and 105,019.03

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Solution

The third proportional to 47,744.44 and 105,019.03 is: 231,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,744.44 : 105,019.03 = 105,019.03 : x
  2. Step 2: Convert to fraction form
    47,744.44/105,019.03 = 105,019.03/x
  3. Step 3: Cross multiply
    47,744.44x = 105,019.03 × 105,019.03
  4. Step 4: Simplify right side
    47,744.44x = 11,028,996,924.69
  5. Step 5: Solve for x
    x = 11,028,996,924.69/47,744.44
  6. Step 6: Final answer
    x = 231,000.67

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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.