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Finding the Third Proportional to 80,800.88 and 171,814.50

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Solution

The third proportional to 80,800.88 and 171,814.50 is: 365,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800.88 : 171,814.50 = 171,814.50 : x
  2. Step 2: Convert to fraction form
    80,800.88/171,814.50 = 171,814.50/x
  3. Step 3: Cross multiply
    80,800.88x = 171,814.50 × 171,814.50
  4. Step 4: Simplify right side
    80,800.88x = 29,520,222,410.25
  5. Step 5: Solve for x
    x = 29,520,222,410.25/80,800.88
  6. Step 6: Final answer
    x = 365,345.33

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.