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Finding the Third Proportional to 104,311.13 and 225,252.56

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Solution

The third proportional to 104,311.13 and 225,252.56 is: 486,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,311.13 : 225,252.56 = 225,252.56 : x
  2. Step 2: Convert to fraction form
    104,311.13/225,252.56 = 225,252.56/x
  3. Step 3: Cross multiply
    104,311.13x = 225,252.56 × 225,252.56
  4. Step 4: Simplify right side
    104,311.13x = 50,738,716,912.82
  5. Step 5: Solve for x
    x = 50,738,716,912.82/104,311.13
  6. Step 6: Final answer
    x = 486,417.12

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Why These Related Problems?

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