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Finding the Third Proportional to 43,219 and 92,431

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Solution

The third proportional to 43,219 and 92,431 is: 197,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,219 : 92,431 = 92,431 : x
  2. Step 2: Convert to fraction form
    43,219/92,431 = 92,431/x
  3. Step 3: Cross multiply
    43,219x = 92,431 × 92,431
  4. Step 4: Simplify right side
    43,219x = 8,543,489,761
  5. Step 5: Solve for x
    x = 8,543,489,761/43,219
  6. Step 6: Final answer
    x = 197,679.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.