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Finding the Third Proportional to 104,301 and 224,320.22

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Solution

The third proportional to 104,301 and 224,320.22 is: 482,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301 : 224,320.22 = 224,320.22 : x
  2. Step 2: Convert to fraction form
    104,301/224,320.22 = 224,320.22/x
  3. Step 3: Cross multiply
    104,301x = 224,320.22 × 224,320.22
  4. Step 4: Simplify right side
    104,301x = 50,319,560,540.05
  5. Step 5: Solve for x
    x = 50,319,560,540.05/104,301
  6. Step 6: Final answer
    x = 482,445.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.