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Finding the Third Proportional to 104,306.06 and 227,199.94

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Solution

The third proportional to 104,306.06 and 227,199.94 is: 494,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,306.06 : 227,199.94 = 227,199.94 : x
  2. Step 2: Convert to fraction form
    104,306.06/227,199.94 = 227,199.94/x
  3. Step 3: Cross multiply
    104,306.06x = 227,199.94 × 227,199.94
  4. Step 4: Simplify right side
    104,306.06x = 51,619,811,600.00
  5. Step 5: Solve for x
    x = 51,619,811,600.00/104,306.06
  6. Step 6: Final answer
    x = 494,887.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.