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Finding the Third Proportional to 169,929,371.81 and 262,400,664.38

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Solution

The third proportional to 169,929,371.81 and 262,400,664.38 is: 405,192,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,929,371.81 : 262,400,664.38 = 262,400,664.38 : x
  2. Step 2: Convert to fraction form
    169,929,371.81/262,400,664.38 = 262,400,664.38/x
  3. Step 3: Cross multiply
    169,929,371.81x = 262,400,664.38 × 262,400,664.38
  4. Step 4: Simplify right side
    169,929,371.81x = 68,854,108,664,441,392
  5. Step 5: Solve for x
    x = 68,854,108,664,441,392/169,929,371.81
  6. Step 6: Final answer
    x = 405,192,509.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.