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Finding the Third Proportional to 105,716.81 and 220,179.94

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Solution

The third proportional to 105,716.81 and 220,179.94 is: 458,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,716.81 : 220,179.94 = 220,179.94 : x
  2. Step 2: Convert to fraction form
    105,716.81/220,179.94 = 220,179.94/x
  3. Step 3: Cross multiply
    105,716.81x = 220,179.94 × 220,179.94
  4. Step 4: Simplify right side
    105,716.81x = 48,479,204,877.50
  5. Step 5: Solve for x
    x = 48,479,204,877.50/105,716.81
  6. Step 6: Final answer
    x = 458,576.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.