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Finding the Third Proportional to 120,728,160 and 261,872,493

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Solution

The third proportional to 120,728,160 and 261,872,493 is: 568,029,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728,160 : 261,872,493 = 261,872,493 : x
  2. Step 2: Convert to fraction form
    120,728,160/261,872,493 = 261,872,493/x
  3. Step 3: Cross multiply
    120,728,160x = 261,872,493 × 261,872,493
  4. Step 4: Simplify right side
    120,728,160x = 68,577,202,590,035,048
  5. Step 5: Solve for x
    x = 68,577,202,590,035,048/120,728,160
  6. Step 6: Final answer
    x = 568,029,882.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.