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Finding the Third Proportional to 169,796,064 and 269,297,408

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Solution

The third proportional to 169,796,064 and 269,297,408 is: 427,107,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,064 : 269,297,408 = 269,297,408 : x
  2. Step 2: Convert to fraction form
    169,796,064/269,297,408 = 269,297,408/x
  3. Step 3: Cross multiply
    169,796,064x = 269,297,408 × 269,297,408
  4. Step 4: Simplify right side
    169,796,064x = 72,521,093,955,518,464
  5. Step 5: Solve for x
    x = 72,521,093,955,518,464/169,796,064
  6. Step 6: Final answer
    x = 427,107,037.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.