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Finding the Third Proportional to 84,511.50 and 179,794.50

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Solution

The third proportional to 84,511.50 and 179,794.50 is: 382,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,511.50 : 179,794.50 = 179,794.50 : x
  2. Step 2: Convert to fraction form
    84,511.50/179,794.50 = 179,794.50/x
  3. Step 3: Cross multiply
    84,511.50x = 179,794.50 × 179,794.50
  4. Step 4: Simplify right side
    84,511.50x = 32,326,062,230.25
  5. Step 5: Solve for x
    x = 32,326,062,230.25/84,511.50
  6. Step 6: Final answer
    x = 382,504.89

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Why These Related Problems?

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