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Finding the Third Proportional to 96,543.56 and 201,909.38

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Solution

The third proportional to 96,543.56 and 201,909.38 is: 422,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.56 : 201,909.38 = 201,909.38 : x
  2. Step 2: Convert to fraction form
    96,543.56/201,909.38 = 201,909.38/x
  3. Step 3: Cross multiply
    96,543.56x = 201,909.38 × 201,909.38
  4. Step 4: Simplify right side
    96,543.56x = 40,767,395,712.89
  5. Step 5: Solve for x
    x = 40,767,395,712.89/96,543.56
  6. Step 6: Final answer
    x = 422,269.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.