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Finding the Third Proportional to 46.04 and 100.14

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Solution

The third proportional to 46.04 and 100.14 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.04 : 100.14 = 100.14 : x
  2. Step 2: Convert to fraction form
    46.04/100.14 = 100.14/x
  3. Step 3: Cross multiply
    46.04x = 100.14 × 100.14
  4. Step 4: Simplify right side
    46.04x = 10,028.54
  5. Step 5: Solve for x
    x = 10,028.54/46.04
  6. Step 6: Final answer
    x = 217.84

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