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Finding the Third Proportional to 226,377,136 and 485,028,512

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Solution

The third proportional to 226,377,136 and 485,028,512 is: 1,039,206,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,377,136 : 485,028,512 = 485,028,512 : x
  2. Step 2: Convert to fraction form
    226,377,136/485,028,512 = 485,028,512/x
  3. Step 3: Cross multiply
    226,377,136x = 485,028,512 × 485,028,512
  4. Step 4: Simplify right side
    226,377,136x = 235,252,657,452,934,144
  5. Step 5: Solve for x
    x = 235,252,657,452,934,144/226,377,136
  6. Step 6: Final answer
    x = 1,039,206,792.74

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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.