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Finding the Third Proportional to 106,025.75 and 228,657.75

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Solution

The third proportional to 106,025.75 and 228,657.75 is: 493,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,025.75 : 228,657.75 = 228,657.75 : x
  2. Step 2: Convert to fraction form
    106,025.75/228,657.75 = 228,657.75/x
  3. Step 3: Cross multiply
    106,025.75x = 228,657.75 × 228,657.75
  4. Step 4: Simplify right side
    106,025.75x = 52,284,366,635.06
  5. Step 5: Solve for x
    x = 52,284,366,635.06/106,025.75
  6. Step 6: Final answer
    x = 493,128.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.