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Finding the Third Proportional to 108,904 and 222,416

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Solution

The third proportional to 108,904 and 222,416 is: 454,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,904 : 222,416 = 222,416 : x
  2. Step 2: Convert to fraction form
    108,904/222,416 = 222,416/x
  3. Step 3: Cross multiply
    108,904x = 222,416 × 222,416
  4. Step 4: Simplify right side
    108,904x = 49,468,877,056
  5. Step 5: Solve for x
    x = 49,468,877,056/108,904
  6. Step 6: Final answer
    x = 454,242.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.