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Finding the Third Proportional to 102,305.25 and 222,319.13

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Solution

The third proportional to 102,305.25 and 222,319.13 is: 483,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,305.25 : 222,319.13 = 222,319.13 : x
  2. Step 2: Convert to fraction form
    102,305.25/222,319.13 = 222,319.13/x
  3. Step 3: Cross multiply
    102,305.25x = 222,319.13 × 222,319.13
  4. Step 4: Simplify right side
    102,305.25x = 49,425,793,340.77
  5. Step 5: Solve for x
    x = 49,425,793,340.77/102,305.25
  6. Step 6: Final answer
    x = 483,120.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.