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Finding the Third Proportional to 103,105 and 226,138

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Solution

The third proportional to 103,105 and 226,138 is: 495,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,105 : 226,138 = 226,138 : x
  2. Step 2: Convert to fraction form
    103,105/226,138 = 226,138/x
  3. Step 3: Cross multiply
    103,105x = 226,138 × 226,138
  4. Step 4: Simplify right side
    103,105x = 51,138,395,044
  5. Step 5: Solve for x
    x = 51,138,395,044/103,105
  6. Step 6: Final answer
    x = 495,983.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.