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Finding the Third Proportional to 89,022.52 and 205,910.44

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Solution

The third proportional to 89,022.52 and 205,910.44 is: 476,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,022.52 : 205,910.44 = 205,910.44 : x
  2. Step 2: Convert to fraction form
    89,022.52/205,910.44 = 205,910.44/x
  3. Step 3: Cross multiply
    89,022.52x = 205,910.44 × 205,910.44
  4. Step 4: Simplify right side
    89,022.52x = 42,399,108,271.44
  5. Step 5: Solve for x
    x = 42,399,108,271.44/89,022.52
  6. Step 6: Final answer
    x = 476,273.98

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.