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Finding the Third Proportional to 105,586 and 219,878

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Solution

The third proportional to 105,586 and 219,878 is: 457,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,586 : 219,878 = 219,878 : x
  2. Step 2: Convert to fraction form
    105,586/219,878 = 219,878/x
  3. Step 3: Cross multiply
    105,586x = 219,878 × 219,878
  4. Step 4: Simplify right side
    105,586x = 48,346,334,884
  5. Step 5: Solve for x
    x = 48,346,334,884/105,586
  6. Step 6: Final answer
    x = 457,885.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.