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Finding the Third Proportional to 158,253,921 and 337,411,026

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Solution

The third proportional to 158,253,921 and 337,411,026 is: 719,389,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,253,921 : 337,411,026 = 337,411,026 : x
  2. Step 2: Convert to fraction form
    158,253,921/337,411,026 = 337,411,026/x
  3. Step 3: Cross multiply
    158,253,921x = 337,411,026 × 337,411,026
  4. Step 4: Simplify right side
    158,253,921x = 113,846,200,466,372,672
  5. Step 5: Solve for x
    x = 113,846,200,466,372,672/158,253,921
  6. Step 6: Final answer
    x = 719,389,445.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.