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Finding the Third Proportional to 106,046.72 and 228,700.97

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Solution

The third proportional to 106,046.72 and 228,700.97 is: 493,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.72 : 228,700.97 = 228,700.97 : x
  2. Step 2: Convert to fraction form
    106,046.72/228,700.97 = 228,700.97/x
  3. Step 3: Cross multiply
    106,046.72x = 228,700.97 × 228,700.97
  4. Step 4: Simplify right side
    106,046.72x = 52,304,133,107.19
  5. Step 5: Solve for x
    x = 52,304,133,107.19/106,046.72
  6. Step 6: Final answer
    x = 493,217.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.