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Finding the Third Proportional to 85,933.13 and 188,815.50

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Solution

The third proportional to 85,933.13 and 188,815.50 is: 414,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,933.13 : 188,815.50 = 188,815.50 : x
  2. Step 2: Convert to fraction form
    85,933.13/188,815.50 = 188,815.50/x
  3. Step 3: Cross multiply
    85,933.13x = 188,815.50 × 188,815.50
  4. Step 4: Simplify right side
    85,933.13x = 35,651,293,040.25
  5. Step 5: Solve for x
    x = 35,651,293,040.25/85,933.13
  6. Step 6: Final answer
    x = 414,872.53

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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.