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Finding the Third Proportional to 103,694 and 223,033

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Solution

The third proportional to 103,694 and 223,033 is: 479,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 223,033 = 223,033 : x
  2. Step 2: Convert to fraction form
    103,694/223,033 = 223,033/x
  3. Step 3: Cross multiply
    103,694x = 223,033 × 223,033
  4. Step 4: Simplify right side
    103,694x = 49,743,719,089
  5. Step 5: Solve for x
    x = 49,743,719,089/103,694
  6. Step 6: Final answer
    x = 479,716.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.