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Finding the Third Proportional to 47,698 and 94,195

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Solution

The third proportional to 47,698 and 94,195 is: 186,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698 : 94,195 = 94,195 : x
  2. Step 2: Convert to fraction form
    47,698/94,195 = 94,195/x
  3. Step 3: Cross multiply
    47,698x = 94,195 × 94,195
  4. Step 4: Simplify right side
    47,698x = 8,872,698,025
  5. Step 5: Solve for x
    x = 8,872,698,025/47,698
  6. Step 6: Final answer
    x = 186,018.24

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Why These Related Problems?

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