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Finding the Third Proportional to 47,203.50 and 92,016

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Solution

The third proportional to 47,203.50 and 92,016 is: 179,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.50 : 92,016 = 92,016 : x
  2. Step 2: Convert to fraction form
    47,203.50/92,016 = 92,016/x
  3. Step 3: Cross multiply
    47,203.50x = 92,016 × 92,016
  4. Step 4: Simplify right side
    47,203.50x = 8,466,944,256
  5. Step 5: Solve for x
    x = 8,466,944,256/47,203.50
  6. Step 6: Final answer
    x = 179,371.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.