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Finding the Third Proportional to 109,361.39 and 226,308.94

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Solution

The third proportional to 109,361.39 and 226,308.94 is: 468,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,361.39 : 226,308.94 = 226,308.94 : x
  2. Step 2: Convert to fraction form
    109,361.39/226,308.94 = 226,308.94/x
  3. Step 3: Cross multiply
    109,361.39x = 226,308.94 × 226,308.94
  4. Step 4: Simplify right side
    109,361.39x = 51,215,735,192.38
  5. Step 5: Solve for x
    x = 51,215,735,192.38/109,361.39
  6. Step 6: Final answer
    x = 468,316.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.