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Finding the Third Proportional to 46.20 and 100.51

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Solution

The third proportional to 46.20 and 100.51 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.20 : 100.51 = 100.51 : x
  2. Step 2: Convert to fraction form
    46.20/100.51 = 100.51/x
  3. Step 3: Cross multiply
    46.20x = 100.51 × 100.51
  4. Step 4: Simplify right side
    46.20x = 10,102.61
  5. Step 5: Solve for x
    x = 10,102.61/46.20
  6. Step 6: Final answer
    x = 218.69

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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.