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Finding the Third Proportional to 109,086 and 228,102

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Solution

The third proportional to 109,086 and 228,102 is: 476,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,086 : 228,102 = 228,102 : x
  2. Step 2: Convert to fraction form
    109,086/228,102 = 228,102/x
  3. Step 3: Cross multiply
    109,086x = 228,102 × 228,102
  4. Step 4: Simplify right side
    109,086x = 52,030,522,404
  5. Step 5: Solve for x
    x = 52,030,522,404/109,086
  6. Step 6: Final answer
    x = 476,967.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.