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Finding the Third Proportional to 47,658.38 and 94,120.73

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Solution

The third proportional to 47,658.38 and 94,120.73 is: 185,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.38 : 94,120.73 = 94,120.73 : x
  2. Step 2: Convert to fraction form
    47,658.38/94,120.73 = 94,120.73/x
  3. Step 3: Cross multiply
    47,658.38x = 94,120.73 × 94,120.73
  4. Step 4: Simplify right side
    47,658.38x = 8,858,712,639.29
  5. Step 5: Solve for x
    x = 8,858,712,639.29/47,658.38
  6. Step 6: Final answer
    x = 185,879.45

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.