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Finding the Third Proportional to 103,086 and 219,672

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Solution

The third proportional to 103,086 and 219,672 is: 468,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,086 : 219,672 = 219,672 : x
  2. Step 2: Convert to fraction form
    103,086/219,672 = 219,672/x
  3. Step 3: Cross multiply
    103,086x = 219,672 × 219,672
  4. Step 4: Simplify right side
    103,086x = 48,255,787,584
  5. Step 5: Solve for x
    x = 48,255,787,584/103,086
  6. Step 6: Final answer
    x = 468,111.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.