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Finding the Third Proportional to 46,969 and 96,238

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Solution

The third proportional to 46,969 and 96,238 is: 197,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969 : 96,238 = 96,238 : x
  2. Step 2: Convert to fraction form
    46,969/96,238 = 96,238/x
  3. Step 3: Cross multiply
    46,969x = 96,238 × 96,238
  4. Step 4: Simplify right side
    46,969x = 9,261,752,644
  5. Step 5: Solve for x
    x = 9,261,752,644/46,969
  6. Step 6: Final answer
    x = 197,188.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.