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Finding the Third Proportional to 105,900.56 and 229,008.75

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Solution

The third proportional to 105,900.56 and 229,008.75 is: 495,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.56 : 229,008.75 = 229,008.75 : x
  2. Step 2: Convert to fraction form
    105,900.56/229,008.75 = 229,008.75/x
  3. Step 3: Cross multiply
    105,900.56x = 229,008.75 × 229,008.75
  4. Step 4: Simplify right side
    105,900.56x = 52,445,007,576.56
  5. Step 5: Solve for x
    x = 52,445,007,576.56/105,900.56
  6. Step 6: Final answer
    x = 495,228.79

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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.