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Finding the Third Proportional to 88,936 and 209,939

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Solution

The third proportional to 88,936 and 209,939 is: 495,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,936 : 209,939 = 209,939 : x
  2. Step 2: Convert to fraction form
    88,936/209,939 = 209,939/x
  3. Step 3: Cross multiply
    88,936x = 209,939 × 209,939
  4. Step 4: Simplify right side
    88,936x = 44,074,383,721
  5. Step 5: Solve for x
    x = 44,074,383,721/88,936
  6. Step 6: Final answer
    x = 495,574.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.