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Finding the Third Proportional to 103,680.75 and 222,097.50

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Solution

The third proportional to 103,680.75 and 222,097.50 is: 475,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680.75 : 222,097.50 = 222,097.50 : x
  2. Step 2: Convert to fraction form
    103,680.75/222,097.50 = 222,097.50/x
  3. Step 3: Cross multiply
    103,680.75x = 222,097.50 × 222,097.50
  4. Step 4: Simplify right side
    103,680.75x = 49,327,299,506.25
  5. Step 5: Solve for x
    x = 49,327,299,506.25/103,680.75
  6. Step 6: Final answer
    x = 475,761.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.