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Finding the Third Proportional to 109,171.50 and 231,465

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Solution

The third proportional to 109,171.50 and 231,465 is: 490,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,171.50 : 231,465 = 231,465 : x
  2. Step 2: Convert to fraction form
    109,171.50/231,465 = 231,465/x
  3. Step 3: Cross multiply
    109,171.50x = 231,465 × 231,465
  4. Step 4: Simplify right side
    109,171.50x = 53,576,046,225
  5. Step 5: Solve for x
    x = 53,576,046,225/109,171.50
  6. Step 6: Final answer
    x = 490,751.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.