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Finding the Third Proportional to 234,633,616 and 354,970,341

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Solution

The third proportional to 234,633,616 and 354,970,341 is: 537,024,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,633,616 : 354,970,341 = 354,970,341 : x
  2. Step 2: Convert to fraction form
    234,633,616/354,970,341 = 354,970,341/x
  3. Step 3: Cross multiply
    234,633,616x = 354,970,341 × 354,970,341
  4. Step 4: Simplify right side
    234,633,616x = 126,003,942,989,656,288
  5. Step 5: Solve for x
    x = 126,003,942,989,656,288/234,633,616
  6. Step 6: Final answer
    x = 537,024,255.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.