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Finding the Third Proportional to 106,108.50 and 228,018.38

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Solution

The third proportional to 106,108.50 and 228,018.38 is: 489,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,108.50 : 228,018.38 = 228,018.38 : x
  2. Step 2: Convert to fraction form
    106,108.50/228,018.38 = 228,018.38/x
  3. Step 3: Cross multiply
    106,108.50x = 228,018.38 × 228,018.38
  4. Step 4: Simplify right side
    106,108.50x = 51,992,379,337.64
  5. Step 5: Solve for x
    x = 51,992,379,337.64/106,108.50
  6. Step 6: Final answer
    x = 489,992.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.