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Finding the Third Proportional to 196,378,880 and 294,568,320

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Solution

The third proportional to 196,378,880 and 294,568,320 is: 441,852,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,378,880 : 294,568,320 = 294,568,320 : x
  2. Step 2: Convert to fraction form
    196,378,880/294,568,320 = 294,568,320/x
  3. Step 3: Cross multiply
    196,378,880x = 294,568,320 × 294,568,320
  4. Step 4: Simplify right side
    196,378,880x = 86,770,495,147,622,400
  5. Step 5: Solve for x
    x = 86,770,495,147,622,400/196,378,880
  6. Step 6: Final answer
    x = 441,852,480

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.