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Finding the Third Proportional to 69,230 and 150,610.50

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Solution

The third proportional to 69,230 and 150,610.50 is: 327,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,230 : 150,610.50 = 150,610.50 : x
  2. Step 2: Convert to fraction form
    69,230/150,610.50 = 150,610.50/x
  3. Step 3: Cross multiply
    69,230x = 150,610.50 × 150,610.50
  4. Step 4: Simplify right side
    69,230x = 22,683,522,710.25
  5. Step 5: Solve for x
    x = 22,683,522,710.25/69,230
  6. Step 6: Final answer
    x = 327,654.52

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