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Finding the Third Proportional to 43,683 and 93,086

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Solution

The third proportional to 43,683 and 93,086 is: 198,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683 : 93,086 = 93,086 : x
  2. Step 2: Convert to fraction form
    43,683/93,086 = 93,086/x
  3. Step 3: Cross multiply
    43,683x = 93,086 × 93,086
  4. Step 4: Simplify right side
    43,683x = 8,665,003,396
  5. Step 5: Solve for x
    x = 8,665,003,396/43,683
  6. Step 6: Final answer
    x = 198,361.00

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