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Finding the Third Proportional to 113,408,118 and 247,342,338

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Solution

The third proportional to 113,408,118 and 247,342,338 is: 539,451,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,408,118 : 247,342,338 = 247,342,338 : x
  2. Step 2: Convert to fraction form
    113,408,118/247,342,338 = 247,342,338/x
  3. Step 3: Cross multiply
    113,408,118x = 247,342,338 × 247,342,338
  4. Step 4: Simplify right side
    113,408,118x = 61,178,232,167,306,240
  5. Step 5: Solve for x
    x = 61,178,232,167,306,240/113,408,118
  6. Step 6: Final answer
    x = 539,451,965.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.