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Finding the Third Proportional to 168,314,122 and 228,085,647

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Solution

The third proportional to 168,314,122 and 228,085,647 is: 309,083,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,314,122 : 228,085,647 = 228,085,647 : x
  2. Step 2: Convert to fraction form
    168,314,122/228,085,647 = 228,085,647/x
  3. Step 3: Cross multiply
    168,314,122x = 228,085,647 × 228,085,647
  4. Step 4: Simplify right side
    168,314,122x = 52,023,062,367,408,608
  5. Step 5: Solve for x
    x = 52,023,062,367,408,608/168,314,122
  6. Step 6: Final answer
    x = 309,083,169.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.