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Finding the Third Proportional to 46.43 and 100.46

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Solution

The third proportional to 46.43 and 100.46 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.43 : 100.46 = 100.46 : x
  2. Step 2: Convert to fraction form
    46.43/100.46 = 100.46/x
  3. Step 3: Cross multiply
    46.43x = 100.46 × 100.46
  4. Step 4: Simplify right side
    46.43x = 10,092.01
  5. Step 5: Solve for x
    x = 10,092.01/46.43
  6. Step 6: Final answer
    x = 217.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.