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Finding the Third Proportional to 185,136,408 and 398,135,196

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Solution

The third proportional to 185,136,408 and 398,135,196 is: 856,188,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136,408 : 398,135,196 = 398,135,196 : x
  2. Step 2: Convert to fraction form
    185,136,408/398,135,196 = 398,135,196/x
  3. Step 3: Cross multiply
    185,136,408x = 398,135,196 × 398,135,196
  4. Step 4: Simplify right side
    185,136,408x = 158,511,634,293,958,400
  5. Step 5: Solve for x
    x = 158,511,634,293,958,400/185,136,408
  6. Step 6: Final answer
    x = 856,188,342.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.