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Finding the Third Proportional to 95,816.67 and 201,563.44

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Solution

The third proportional to 95,816.67 and 201,563.44 is: 424,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,816.67 : 201,563.44 = 201,563.44 : x
  2. Step 2: Convert to fraction form
    95,816.67/201,563.44 = 201,563.44/x
  3. Step 3: Cross multiply
    95,816.67x = 201,563.44 × 201,563.44
  4. Step 4: Simplify right side
    95,816.67x = 40,627,819,336.82
  5. Step 5: Solve for x
    x = 40,627,819,336.82/95,816.67
  6. Step 6: Final answer
    x = 424,016.18

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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.