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Finding the Third Proportional to 105,517.69 and 232,606.69

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Solution

The third proportional to 105,517.69 and 232,606.69 is: 512,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,517.69 : 232,606.69 = 232,606.69 : x
  2. Step 2: Convert to fraction form
    105,517.69/232,606.69 = 232,606.69/x
  3. Step 3: Cross multiply
    105,517.69x = 232,606.69 × 232,606.69
  4. Step 4: Simplify right side
    105,517.69x = 54,105,871,069.72
  5. Step 5: Solve for x
    x = 54,105,871,069.72/105,517.69
  6. Step 6: Final answer
    x = 512,765.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.