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Finding the Third Proportional to 83,145.75 and 188,487.75

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Solution

The third proportional to 83,145.75 and 188,487.75 is: 427,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.75 : 188,487.75 = 188,487.75 : x
  2. Step 2: Convert to fraction form
    83,145.75/188,487.75 = 188,487.75/x
  3. Step 3: Cross multiply
    83,145.75x = 188,487.75 × 188,487.75
  4. Step 4: Simplify right side
    83,145.75x = 35,527,631,900.06
  5. Step 5: Solve for x
    x = 35,527,631,900.06/83,145.75
  6. Step 6: Final answer
    x = 427,293.42

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.