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Finding the Third Proportional to 105,613 and 219,965

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Solution

The third proportional to 105,613 and 219,965 is: 458,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,613 : 219,965 = 219,965 : x
  2. Step 2: Convert to fraction form
    105,613/219,965 = 219,965/x
  3. Step 3: Cross multiply
    105,613x = 219,965 × 219,965
  4. Step 4: Simplify right side
    105,613x = 48,384,601,225
  5. Step 5: Solve for x
    x = 48,384,601,225/105,613
  6. Step 6: Final answer
    x = 458,131.11

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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.