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Finding the Third Proportional to 211,478,150 and 323,295,576

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Solution

The third proportional to 211,478,150 and 323,295,576 is: 494,235,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,150 : 323,295,576 = 323,295,576 : x
  2. Step 2: Convert to fraction form
    211,478,150/323,295,576 = 323,295,576/x
  3. Step 3: Cross multiply
    211,478,150x = 323,295,576 × 323,295,576
  4. Step 4: Simplify right side
    211,478,150x = 104,520,029,461,171,776
  5. Step 5: Solve for x
    x = 104,520,029,461,171,776/211,478,150
  6. Step 6: Final answer
    x = 494,235,595.79

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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.