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Finding the Third Proportional to 121,029,928 and 262,224,464

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Solution

The third proportional to 121,029,928 and 262,224,464 is: 568,137,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,029,928 : 262,224,464 = 262,224,464 : x
  2. Step 2: Convert to fraction form
    121,029,928/262,224,464 = 262,224,464/x
  3. Step 3: Cross multiply
    121,029,928x = 262,224,464 × 262,224,464
  4. Step 4: Simplify right side
    121,029,928x = 68,761,669,520,087,296
  5. Step 5: Solve for x
    x = 68,761,669,520,087,296/121,029,928
  6. Step 6: Final answer
    x = 568,137,737.97

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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.