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Finding the Third Proportional to 87,145.88 and 184,757.84

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Solution

The third proportional to 87,145.88 and 184,757.84 is: 391,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,145.88 : 184,757.84 = 184,757.84 : x
  2. Step 2: Convert to fraction form
    87,145.88/184,757.84 = 184,757.84/x
  3. Step 3: Cross multiply
    87,145.88x = 184,757.84 × 184,757.84
  4. Step 4: Simplify right side
    87,145.88x = 34,135,457,940.31
  5. Step 5: Solve for x
    x = 34,135,457,940.31/87,145.88
  6. Step 6: Final answer
    x = 391,704.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.