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Finding the Third Proportional to 106,616.25 and 226,354.50

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Solution

The third proportional to 106,616.25 and 226,354.50 is: 480,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.25 : 226,354.50 = 226,354.50 : x
  2. Step 2: Convert to fraction form
    106,616.25/226,354.50 = 226,354.50/x
  3. Step 3: Cross multiply
    106,616.25x = 226,354.50 × 226,354.50
  4. Step 4: Simplify right side
    106,616.25x = 51,236,359,670.25
  5. Step 5: Solve for x
    x = 51,236,359,670.25/106,616.25
  6. Step 6: Final answer
    x = 480,568.02

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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.