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Finding the Third Proportional to 173,666,849 and 260,885,733

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Solution

The third proportional to 173,666,849 and 260,885,733 is: 391,907,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,666,849 : 260,885,733 = 260,885,733 : x
  2. Step 2: Convert to fraction form
    173,666,849/260,885,733 = 260,885,733/x
  3. Step 3: Cross multiply
    173,666,849x = 260,885,733 × 260,885,733
  4. Step 4: Simplify right side
    173,666,849x = 68,061,365,682,947,288
  5. Step 5: Solve for x
    x = 68,061,365,682,947,288/173,666,849
  6. Step 6: Final answer
    x = 391,907,644.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.