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Finding the Third Proportional to 103,165 and 226,011

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Solution

The third proportional to 103,165 and 226,011 is: 495,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165 : 226,011 = 226,011 : x
  2. Step 2: Convert to fraction form
    103,165/226,011 = 226,011/x
  3. Step 3: Cross multiply
    103,165x = 226,011 × 226,011
  4. Step 4: Simplify right side
    103,165x = 51,080,972,121
  5. Step 5: Solve for x
    x = 51,080,972,121/103,165
  6. Step 6: Final answer
    x = 495,138.58

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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.