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Finding the Third Proportional to 106,855.88 and 228,013.88

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Solution

The third proportional to 106,855.88 and 228,013.88 is: 486,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,855.88 : 228,013.88 = 228,013.88 : x
  2. Step 2: Convert to fraction form
    106,855.88/228,013.88 = 228,013.88/x
  3. Step 3: Cross multiply
    106,855.88x = 228,013.88 × 228,013.88
  4. Step 4: Simplify right side
    106,855.88x = 51,990,327,192.52
  5. Step 5: Solve for x
    x = 51,990,327,192.52/106,855.88
  6. Step 6: Final answer
    x = 486,546.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.