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Finding the Third Proportional to 111,635 and 156,150.50

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Solution

The third proportional to 111,635 and 156,150.50 is: 218,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,635 : 156,150.50 = 156,150.50 : x
  2. Step 2: Convert to fraction form
    111,635/156,150.50 = 156,150.50/x
  3. Step 3: Cross multiply
    111,635x = 156,150.50 × 156,150.50
  4. Step 4: Simplify right side
    111,635x = 24,382,978,650.25
  5. Step 5: Solve for x
    x = 24,382,978,650.25/111,635
  6. Step 6: Final answer
    x = 218,416.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.