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Finding the Third Proportional to 154,414,408 and 339,432,278

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Solution

The third proportional to 154,414,408 and 339,432,278 is: 746,136,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414,408 : 339,432,278 = 339,432,278 : x
  2. Step 2: Convert to fraction form
    154,414,408/339,432,278 = 339,432,278/x
  3. Step 3: Cross multiply
    154,414,408x = 339,432,278 × 339,432,278
  4. Step 4: Simplify right side
    154,414,408x = 115,214,271,348,269,280
  5. Step 5: Solve for x
    x = 115,214,271,348,269,280/154,414,408
  6. Step 6: Final answer
    x = 746,136,794.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.