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Finding the Third Proportional to 154,469,567 and 233,140,834

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Solution

The third proportional to 154,469,567 and 233,140,834 is: 351,879,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469,567 : 233,140,834 = 233,140,834 : x
  2. Step 2: Convert to fraction form
    154,469,567/233,140,834 = 233,140,834/x
  3. Step 3: Cross multiply
    154,469,567x = 233,140,834 × 233,140,834
  4. Step 4: Simplify right side
    154,469,567x = 54,354,648,478,215,552
  5. Step 5: Solve for x
    x = 54,354,648,478,215,552/154,469,567
  6. Step 6: Final answer
    x = 351,879,334.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.