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Finding the Third Proportional to 109,172.25 and 231,466.50

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Solution

The third proportional to 109,172.25 and 231,466.50 is: 490,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,172.25 : 231,466.50 = 231,466.50 : x
  2. Step 2: Convert to fraction form
    109,172.25/231,466.50 = 231,466.50/x
  3. Step 3: Cross multiply
    109,172.25x = 231,466.50 × 231,466.50
  4. Step 4: Simplify right side
    109,172.25x = 53,576,740,622.25
  5. Step 5: Solve for x
    x = 53,576,740,622.25/109,172.25
  6. Step 6: Final answer
    x = 490,754.20

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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.