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Finding the Third Proportional to 106,530.19 and 226,197.56

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Solution

The third proportional to 106,530.19 and 226,197.56 is: 480,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,530.19 : 226,197.56 = 226,197.56 : x
  2. Step 2: Convert to fraction form
    106,530.19/226,197.56 = 226,197.56/x
  3. Step 3: Cross multiply
    106,530.19x = 226,197.56 × 226,197.56
  4. Step 4: Simplify right side
    106,530.19x = 51,165,337,280.94
  5. Step 5: Solve for x
    x = 51,165,337,280.94/106,530.19
  6. Step 6: Final answer
    x = 480,289.56

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Why These Related Problems?

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