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Finding the Third Proportional to 169,929,138.94 and 262,400,329.41

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Solution

The third proportional to 169,929,138.94 and 262,400,329.41 is: 405,192,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,929,138.94 : 262,400,329.41 = 262,400,329.41 : x
  2. Step 2: Convert to fraction form
    169,929,138.94/262,400,329.41 = 262,400,329.41/x
  3. Step 3: Cross multiply
    169,929,138.94x = 262,400,329.41 × 262,400,329.41
  4. Step 4: Simplify right side
    169,929,138.94x = 68,853,932,872,508,512
  5. Step 5: Solve for x
    x = 68,853,932,872,508,512/169,929,138.94
  6. Step 6: Final answer
    x = 405,192,030.65

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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.