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Finding the Third Proportional to 43,698 and 93,116

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Solution

The third proportional to 43,698 and 93,116 is: 198,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698 : 93,116 = 93,116 : x
  2. Step 2: Convert to fraction form
    43,698/93,116 = 93,116/x
  3. Step 3: Cross multiply
    43,698x = 93,116 × 93,116
  4. Step 4: Simplify right side
    43,698x = 8,670,589,456
  5. Step 5: Solve for x
    x = 8,670,589,456/43,698
  6. Step 6: Final answer
    x = 198,420.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.