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Finding the Third Proportional to 40,899 and 89,199

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Solution

The third proportional to 40,899 and 89,199 is: 194,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,899 : 89,199 = 89,199 : x
  2. Step 2: Convert to fraction form
    40,899/89,199 = 89,199/x
  3. Step 3: Cross multiply
    40,899x = 89,199 × 89,199
  4. Step 4: Simplify right side
    40,899x = 7,956,461,601
  5. Step 5: Solve for x
    x = 7,956,461,601/40,899
  6. Step 6: Final answer
    x = 194,539.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.