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Finding the Third Proportional to 45,311.91 and 100,003.99

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Solution

The third proportional to 45,311.91 and 100,003.99 is: 220,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.91 : 100,003.99 = 100,003.99 : x
  2. Step 2: Convert to fraction form
    45,311.91/100,003.99 = 100,003.99/x
  3. Step 3: Cross multiply
    45,311.91x = 100,003.99 × 100,003.99
  4. Step 4: Simplify right side
    45,311.91x = 10,000,798,453.44
  5. Step 5: Solve for x
    x = 10,000,798,453.44/45,311.91
  6. Step 6: Final answer
    x = 220,710.17

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.