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Finding the Third Proportional to 87,820 and 188,956

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Solution

The third proportional to 87,820 and 188,956 is: 406,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,820 : 188,956 = 188,956 : x
  2. Step 2: Convert to fraction form
    87,820/188,956 = 188,956/x
  3. Step 3: Cross multiply
    87,820x = 188,956 × 188,956
  4. Step 4: Simplify right side
    87,820x = 35,704,369,936
  5. Step 5: Solve for x
    x = 35,704,369,936/87,820
  6. Step 6: Final answer
    x = 406,563.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.