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Finding the Third Proportional to 102.94 and 222.94

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Solution

The third proportional to 102.94 and 222.94 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 222.94 = 222.94 : x
  2. Step 2: Convert to fraction form
    102.94/222.94 = 222.94/x
  3. Step 3: Cross multiply
    102.94x = 222.94 × 222.94
  4. Step 4: Simplify right side
    102.94x = 49,701.13
  5. Step 5: Solve for x
    x = 49,701.13/102.94
  6. Step 6: Final answer
    x = 482.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.