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Finding the Third Proportional to 99,625,137 and 205,616,649

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Solution

The third proportional to 99,625,137 and 205,616,649 is: 424,372,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,625,137 : 205,616,649 = 205,616,649 : x
  2. Step 2: Convert to fraction form
    99,625,137/205,616,649 = 205,616,649/x
  3. Step 3: Cross multiply
    99,625,137x = 205,616,649 × 205,616,649
  4. Step 4: Simplify right side
    99,625,137x = 42,278,206,345,989,200
  5. Step 5: Solve for x
    x = 42,278,206,345,989,200/99,625,137
  6. Step 6: Final answer
    x = 424,372,880.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.