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Finding the Third Proportional to 105,433.88 and 227,475.56

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Solution

The third proportional to 105,433.88 and 227,475.56 is: 490,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,433.88 : 227,475.56 = 227,475.56 : x
  2. Step 2: Convert to fraction form
    105,433.88/227,475.56 = 227,475.56/x
  3. Step 3: Cross multiply
    105,433.88x = 227,475.56 × 227,475.56
  4. Step 4: Simplify right side
    105,433.88x = 51,745,131,534.69
  5. Step 5: Solve for x
    x = 51,745,131,534.69/105,433.88
  6. Step 6: Final answer
    x = 490,782.79

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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.