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Finding the Third Proportional to 88,996 and 206,938

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Solution

The third proportional to 88,996 and 206,938 is: 481,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,996 : 206,938 = 206,938 : x
  2. Step 2: Convert to fraction form
    88,996/206,938 = 206,938/x
  3. Step 3: Cross multiply
    88,996x = 206,938 × 206,938
  4. Step 4: Simplify right side
    88,996x = 42,823,335,844
  5. Step 5: Solve for x
    x = 42,823,335,844/88,996
  6. Step 6: Final answer
    x = 481,182.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.