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Finding the Third Proportional to 167,345,408 and 361,580,336

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Solution

The third proportional to 167,345,408 and 361,580,336 is: 781,260,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,345,408 : 361,580,336 = 361,580,336 : x
  2. Step 2: Convert to fraction form
    167,345,408/361,580,336 = 361,580,336/x
  3. Step 3: Cross multiply
    167,345,408x = 361,580,336 × 361,580,336
  4. Step 4: Simplify right side
    167,345,408x = 130,740,339,381,872,896
  5. Step 5: Solve for x
    x = 130,740,339,381,872,896/167,345,408
  6. Step 6: Final answer
    x = 781,260,393.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.