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Finding the Third Proportional to 228,102,566 and 329,568,888

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Solution

The third proportional to 228,102,566 and 329,568,888 is: 476,170,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,102,566 : 329,568,888 = 329,568,888 : x
  2. Step 2: Convert to fraction form
    228,102,566/329,568,888 = 329,568,888/x
  3. Step 3: Cross multiply
    228,102,566x = 329,568,888 × 329,568,888
  4. Step 4: Simplify right side
    228,102,566x = 108,615,651,937,556,544
  5. Step 5: Solve for x
    x = 108,615,651,937,556,544/228,102,566
  6. Step 6: Final answer
    x = 476,170,232.73

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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.