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Finding the Third Proportional to 110,718 and 156,019.50

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Solution

The third proportional to 110,718 and 156,019.50 is: 219,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,718 : 156,019.50 = 156,019.50 : x
  2. Step 2: Convert to fraction form
    110,718/156,019.50 = 156,019.50/x
  3. Step 3: Cross multiply
    110,718x = 156,019.50 × 156,019.50
  4. Step 4: Simplify right side
    110,718x = 24,342,084,380.25
  5. Step 5: Solve for x
    x = 24,342,084,380.25/110,718
  6. Step 6: Final answer
    x = 219,856.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.