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Finding the Third Proportional to 103,613 and 223,766

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Solution

The third proportional to 103,613 and 223,766 is: 483,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,613 : 223,766 = 223,766 : x
  2. Step 2: Convert to fraction form
    103,613/223,766 = 223,766/x
  3. Step 3: Cross multiply
    103,613x = 223,766 × 223,766
  4. Step 4: Simplify right side
    103,613x = 50,071,222,756
  5. Step 5: Solve for x
    x = 50,071,222,756/103,613
  6. Step 6: Final answer
    x = 483,252.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.