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Finding the Third Proportional to 106,651.50 and 228,855

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Solution

The third proportional to 106,651.50 and 228,855 is: 491,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651.50 : 228,855 = 228,855 : x
  2. Step 2: Convert to fraction form
    106,651.50/228,855 = 228,855/x
  3. Step 3: Cross multiply
    106,651.50x = 228,855 × 228,855
  4. Step 4: Simplify right side
    106,651.50x = 52,374,611,025
  5. Step 5: Solve for x
    x = 52,374,611,025/106,651.50
  6. Step 6: Final answer
    x = 491,081.80

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