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Finding the Third Proportional to 46.57 and 93.14

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Solution

The third proportional to 46.57 and 93.14 is: 186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.57 : 93.14 = 93.14 : x
  2. Step 2: Convert to fraction form
    46.57/93.14 = 93.14/x
  3. Step 3: Cross multiply
    46.57x = 93.14 × 93.14
  4. Step 4: Simplify right side
    46.57x = 8,675.21
  5. Step 5: Solve for x
    x = 8,675.21/46.57
  6. Step 6: Final answer
    x = 186.28

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.