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Finding the Third Proportional to 102.94 and 218.53

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Solution

The third proportional to 102.94 and 218.53 is: 463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 218.53 = 218.53 : x
  2. Step 2: Convert to fraction form
    102.94/218.53 = 218.53/x
  3. Step 3: Cross multiply
    102.94x = 218.53 × 218.53
  4. Step 4: Simplify right side
    102.94x = 47,755.91
  5. Step 5: Solve for x
    x = 47,755.91/102.94
  6. Step 6: Final answer
    x = 463.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.