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Finding the Third Proportional to 106,404.75 and 228,489.75

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Solution

The third proportional to 106,404.75 and 228,489.75 is: 490,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404.75 : 228,489.75 = 228,489.75 : x
  2. Step 2: Convert to fraction form
    106,404.75/228,489.75 = 228,489.75/x
  3. Step 3: Cross multiply
    106,404.75x = 228,489.75 × 228,489.75
  4. Step 4: Simplify right side
    106,404.75x = 52,207,565,855.06
  5. Step 5: Solve for x
    x = 52,207,565,855.06/106,404.75
  6. Step 6: Final answer
    x = 490,650.71

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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.