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Finding the Third Proportional to 150,911,025 and 323,335,569

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Solution

The third proportional to 150,911,025 and 323,335,569 is: 692,765,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,911,025 : 323,335,569 = 323,335,569 : x
  2. Step 2: Convert to fraction form
    150,911,025/323,335,569 = 323,335,569/x
  3. Step 3: Cross multiply
    150,911,025x = 323,335,569 × 323,335,569
  4. Step 4: Simplify right side
    150,911,025x = 104,545,890,180,553,760
  5. Step 5: Solve for x
    x = 104,545,890,180,553,760/150,911,025
  6. Step 6: Final answer
    x = 692,765,092.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.