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Finding the Third Proportional to 160,336,593 and 343,348,002

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Solution

The third proportional to 160,336,593 and 343,348,002 is: 735,252,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,336,593 : 343,348,002 = 343,348,002 : x
  2. Step 2: Convert to fraction form
    160,336,593/343,348,002 = 343,348,002/x
  3. Step 3: Cross multiply
    160,336,593x = 343,348,002 × 343,348,002
  4. Step 4: Simplify right side
    160,336,593x = 117,887,850,477,392,000
  5. Step 5: Solve for x
    x = 117,887,850,477,392,000/160,336,593
  6. Step 6: Final answer
    x = 735,252,310.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.