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Finding the Third Proportional to 46.38 and 100.38

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Solution

The third proportional to 46.38 and 100.38 is: 217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.38 : 100.38 = 100.38 : x
  2. Step 2: Convert to fraction form
    46.38/100.38 = 100.38/x
  3. Step 3: Cross multiply
    46.38x = 100.38 × 100.38
  4. Step 4: Simplify right side
    46.38x = 10,075.14
  5. Step 5: Solve for x
    x = 10,075.14/46.38
  6. Step 6: Final answer
    x = 217.25

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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.