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Finding the Third Proportional to 90,697.22 and 211,792.85

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Solution

The third proportional to 90,697.22 and 211,792.85 is: 494,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,697.22 : 211,792.85 = 211,792.85 : x
  2. Step 2: Convert to fraction form
    90,697.22/211,792.85 = 211,792.85/x
  3. Step 3: Cross multiply
    90,697.22x = 211,792.85 × 211,792.85
  4. Step 4: Simplify right side
    90,697.22x = 44,856,211,972.98
  5. Step 5: Solve for x
    x = 44,856,211,972.98/90,697.22
  6. Step 6: Final answer
    x = 494,570.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.