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Finding the Third Proportional to 211,866,676 and 323,958,606

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Solution

The third proportional to 211,866,676 and 323,958,606 is: 495,354,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,866,676 : 323,958,606 = 323,958,606 : x
  2. Step 2: Convert to fraction form
    211,866,676/323,958,606 = 323,958,606/x
  3. Step 3: Cross multiply
    211,866,676x = 323,958,606 × 323,958,606
  4. Step 4: Simplify right side
    211,866,676x = 104,949,178,401,463,232
  5. Step 5: Solve for x
    x = 104,949,178,401,463,232/211,866,676
  6. Step 6: Final answer
    x = 495,354,816.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.