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Finding the Third Proportional to 85,922.25 and 188,655

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Solution

The third proportional to 85,922.25 and 188,655 is: 414,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,922.25 : 188,655 = 188,655 : x
  2. Step 2: Convert to fraction form
    85,922.25/188,655 = 188,655/x
  3. Step 3: Cross multiply
    85,922.25x = 188,655 × 188,655
  4. Step 4: Simplify right side
    85,922.25x = 35,590,709,025
  5. Step 5: Solve for x
    x = 35,590,709,025/85,922.25
  6. Step 6: Final answer
    x = 414,219.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.