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Finding the Third Proportional to 100,905.75 and 219,489.75

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Solution

The third proportional to 100,905.75 and 219,489.75 is: 477,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.75 : 219,489.75 = 219,489.75 : x
  2. Step 2: Convert to fraction form
    100,905.75/219,489.75 = 219,489.75/x
  3. Step 3: Cross multiply
    100,905.75x = 219,489.75 × 219,489.75
  4. Step 4: Simplify right side
    100,905.75x = 48,175,750,355.06
  5. Step 5: Solve for x
    x = 48,175,750,355.06/100,905.75
  6. Step 6: Final answer
    x = 477,433.15

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