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Finding the Third Proportional to 96,554 and 201,938

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Solution

The third proportional to 96,554 and 201,938 is: 422,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,554 : 201,938 = 201,938 : x
  2. Step 2: Convert to fraction form
    96,554/201,938 = 201,938/x
  3. Step 3: Cross multiply
    96,554x = 201,938 × 201,938
  4. Step 4: Simplify right side
    96,554x = 40,778,955,844
  5. Step 5: Solve for x
    x = 40,778,955,844/96,554
  6. Step 6: Final answer
    x = 422,343.52

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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.