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Finding the Third Proportional to 107,794.13 and 222,503.63

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Solution

The third proportional to 107,794.13 and 222,503.63 is: 459,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,794.13 : 222,503.63 = 222,503.63 : x
  2. Step 2: Convert to fraction form
    107,794.13/222,503.63 = 222,503.63/x
  3. Step 3: Cross multiply
    107,794.13x = 222,503.63 × 222,503.63
  4. Step 4: Simplify right side
    107,794.13x = 49,507,863,138.14
  5. Step 5: Solve for x
    x = 49,507,863,138.14/107,794.13
  6. Step 6: Final answer
    x = 459,281.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.