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Finding the Third Proportional to 106,018 and 228,644

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Solution

The third proportional to 106,018 and 228,644 is: 493,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,018 : 228,644 = 228,644 : x
  2. Step 2: Convert to fraction form
    106,018/228,644 = 228,644/x
  3. Step 3: Cross multiply
    106,018x = 228,644 × 228,644
  4. Step 4: Simplify right side
    106,018x = 52,278,078,736
  5. Step 5: Solve for x
    x = 52,278,078,736/106,018
  6. Step 6: Final answer
    x = 493,105.69

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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.