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Finding the Third Proportional to 150,943,496 and 323,413,624

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Solution

The third proportional to 150,943,496 and 323,413,624 is: 692,950,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,496 : 323,413,624 = 323,413,624 : x
  2. Step 2: Convert to fraction form
    150,943,496/323,413,624 = 323,413,624/x
  3. Step 3: Cross multiply
    150,943,496x = 323,413,624 × 323,413,624
  4. Step 4: Simplify right side
    150,943,496x = 104,596,372,188,813,376
  5. Step 5: Solve for x
    x = 104,596,372,188,813,376/150,943,496
  6. Step 6: Final answer
    x = 692,950,507.71

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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.