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Finding the Third Proportional to 85,201.50 and 179,216.50

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Solution

The third proportional to 85,201.50 and 179,216.50 is: 376,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201.50 : 179,216.50 = 179,216.50 : x
  2. Step 2: Convert to fraction form
    85,201.50/179,216.50 = 179,216.50/x
  3. Step 3: Cross multiply
    85,201.50x = 179,216.50 × 179,216.50
  4. Step 4: Simplify right side
    85,201.50x = 32,118,553,872.25
  5. Step 5: Solve for x
    x = 32,118,553,872.25/85,201.50
  6. Step 6: Final answer
    x = 376,971.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.