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Finding the Third Proportional to 96,555.38 and 201,936.38

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Solution

The third proportional to 96,555.38 and 201,936.38 is: 422,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,555.38 : 201,936.38 = 201,936.38 : x
  2. Step 2: Convert to fraction form
    96,555.38/201,936.38 = 201,936.38/x
  3. Step 3: Cross multiply
    96,555.38x = 201,936.38 × 201,936.38
  4. Step 4: Simplify right side
    96,555.38x = 40,778,299,548.14
  5. Step 5: Solve for x
    x = 40,778,299,548.14/96,555.38
  6. Step 6: Final answer
    x = 422,330.70

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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.