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Finding the Third Proportional to 108,972 and 224,910

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Solution

The third proportional to 108,972 and 224,910 is: 464,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972 : 224,910 = 224,910 : x
  2. Step 2: Convert to fraction form
    108,972/224,910 = 224,910/x
  3. Step 3: Cross multiply
    108,972x = 224,910 × 224,910
  4. Step 4: Simplify right side
    108,972x = 50,584,508,100
  5. Step 5: Solve for x
    x = 50,584,508,100/108,972
  6. Step 6: Final answer
    x = 464,197.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.