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Finding the Third Proportional to 106,539.75 and 228,044.25

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Solution

The third proportional to 106,539.75 and 228,044.25 is: 488,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,539.75 : 228,044.25 = 228,044.25 : x
  2. Step 2: Convert to fraction form
    106,539.75/228,044.25 = 228,044.25/x
  3. Step 3: Cross multiply
    106,539.75x = 228,044.25 × 228,044.25
  4. Step 4: Simplify right side
    106,539.75x = 52,004,179,958.06
  5. Step 5: Solve for x
    x = 52,004,179,958.06/106,539.75
  6. Step 6: Final answer
    x = 488,119.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.