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Finding the Third Proportional to 40,689 and 95,062.50

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Solution

The third proportional to 40,689 and 95,062.50 is: 222,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 95,062.50 = 95,062.50 : x
  2. Step 2: Convert to fraction form
    40,689/95,062.50 = 95,062.50/x
  3. Step 3: Cross multiply
    40,689x = 95,062.50 × 95,062.50
  4. Step 4: Simplify right side
    40,689x = 9,036,878,906.25
  5. Step 5: Solve for x
    x = 9,036,878,906.25/40,689
  6. Step 6: Final answer
    x = 222,096.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.