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Finding the Third Proportional to 105,606.75 and 219,951.75

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Solution

The third proportional to 105,606.75 and 219,951.75 is: 458,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,606.75 : 219,951.75 = 219,951.75 : x
  2. Step 2: Convert to fraction form
    105,606.75/219,951.75 = 219,951.75/x
  3. Step 3: Cross multiply
    105,606.75x = 219,951.75 × 219,951.75
  4. Step 4: Simplify right side
    105,606.75x = 48,378,772,328.06
  5. Step 5: Solve for x
    x = 48,378,772,328.06/105,606.75
  6. Step 6: Final answer
    x = 458,103.03

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