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Finding the Third Proportional to 46.15 and 100.43

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Solution

The third proportional to 46.15 and 100.43 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.15 : 100.43 = 100.43 : x
  2. Step 2: Convert to fraction form
    46.15/100.43 = 100.43/x
  3. Step 3: Cross multiply
    46.15x = 100.43 × 100.43
  4. Step 4: Simplify right side
    46.15x = 10,086.12
  5. Step 5: Solve for x
    x = 10,086.12/46.15
  6. Step 6: Final answer
    x = 218.56

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Why These Related Problems?

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