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Finding the Third Proportional to 106,086 and 228,777

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Solution

The third proportional to 106,086 and 228,777 is: 493,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086 : 228,777 = 228,777 : x
  2. Step 2: Convert to fraction form
    106,086/228,777 = 228,777/x
  3. Step 3: Cross multiply
    106,086x = 228,777 × 228,777
  4. Step 4: Simplify right side
    106,086x = 52,338,915,729
  5. Step 5: Solve for x
    x = 52,338,915,729/106,086
  6. Step 6: Final answer
    x = 493,363.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.