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Finding the Third Proportional to 101,524.64 and 222,732.28

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Solution

The third proportional to 101,524.64 and 222,732.28 is: 488,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.64 : 222,732.28 = 222,732.28 : x
  2. Step 2: Convert to fraction form
    101,524.64/222,732.28 = 222,732.28/x
  3. Step 3: Cross multiply
    101,524.64x = 222,732.28 × 222,732.28
  4. Step 4: Simplify right side
    101,524.64x = 49,609,669,110.83
  5. Step 5: Solve for x
    x = 49,609,669,110.83/101,524.64
  6. Step 6: Final answer
    x = 488,646.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.