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Finding the Third Proportional to 90,554 and 197,938

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Solution

The third proportional to 90,554 and 197,938 is: 432,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,554 : 197,938 = 197,938 : x
  2. Step 2: Convert to fraction form
    90,554/197,938 = 197,938/x
  3. Step 3: Cross multiply
    90,554x = 197,938 × 197,938
  4. Step 4: Simplify right side
    90,554x = 39,179,451,844
  5. Step 5: Solve for x
    x = 39,179,451,844/90,554
  6. Step 6: Final answer
    x = 432,663.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.