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Finding the Third Proportional to 103,694 and 219,938

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Solution

The third proportional to 103,694 and 219,938 is: 466,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 219,938 = 219,938 : x
  2. Step 2: Convert to fraction form
    103,694/219,938 = 219,938/x
  3. Step 3: Cross multiply
    103,694x = 219,938 × 219,938
  4. Step 4: Simplify right side
    103,694x = 48,372,723,844
  5. Step 5: Solve for x
    x = 48,372,723,844/103,694
  6. Step 6: Final answer
    x = 466,494.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.