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Finding the Third Proportional to 69,517.41 and 151,777.13

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Solution

The third proportional to 69,517.41 and 151,777.13 is: 331,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,517.41 : 151,777.13 = 151,777.13 : x
  2. Step 2: Convert to fraction form
    69,517.41/151,777.13 = 151,777.13/x
  3. Step 3: Cross multiply
    69,517.41x = 151,777.13 × 151,777.13
  4. Step 4: Simplify right side
    69,517.41x = 23,036,295,673.27
  5. Step 5: Solve for x
    x = 23,036,295,673.27/69,517.41
  6. Step 6: Final answer
    x = 331,374.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.