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Finding the Third Proportional to 85,930.88 and 188,785.69

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Solution

The third proportional to 85,930.88 and 188,785.69 is: 414,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,930.88 : 188,785.69 = 188,785.69 : x
  2. Step 2: Convert to fraction form
    85,930.88/188,785.69 = 188,785.69/x
  3. Step 3: Cross multiply
    85,930.88x = 188,785.69 × 188,785.69
  4. Step 4: Simplify right side
    85,930.88x = 35,640,035,804.85
  5. Step 5: Solve for x
    x = 35,640,035,804.85/85,930.88
  6. Step 6: Final answer
    x = 414,752.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.