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Finding the Third Proportional to 228,102,560 and 329,568,880

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Solution

The third proportional to 228,102,560 and 329,568,880 is: 476,170,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,102,560 : 329,568,880 = 329,568,880 : x
  2. Step 2: Convert to fraction form
    228,102,560/329,568,880 = 329,568,880/x
  3. Step 3: Cross multiply
    228,102,560x = 329,568,880 × 329,568,880
  4. Step 4: Simplify right side
    228,102,560x = 108,615,646,664,454,400
  5. Step 5: Solve for x
    x = 108,615,646,664,454,400/228,102,560
  6. Step 6: Final answer
    x = 476,170,222.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.