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Finding the Third Proportional to 109,084 and 228,100

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Solution

The third proportional to 109,084 and 228,100 is: 476,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,084 : 228,100 = 228,100 : x
  2. Step 2: Convert to fraction form
    109,084/228,100 = 228,100/x
  3. Step 3: Cross multiply
    109,084x = 228,100 × 228,100
  4. Step 4: Simplify right side
    109,084x = 52,029,610,000
  5. Step 5: Solve for x
    x = 52,029,610,000/109,084
  6. Step 6: Final answer
    x = 476,968.30

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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.