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Finding the Third Proportional to 68,107,729 and 151,332,002

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Solution

The third proportional to 68,107,729 and 151,332,002 is: 336,252,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107,729 : 151,332,002 = 151,332,002 : x
  2. Step 2: Convert to fraction form
    68,107,729/151,332,002 = 151,332,002/x
  3. Step 3: Cross multiply
    68,107,729x = 151,332,002 × 151,332,002
  4. Step 4: Simplify right side
    68,107,729x = 22,901,374,829,328,004
  5. Step 5: Solve for x
    x = 22,901,374,829,328,004/68,107,729
  6. Step 6: Final answer
    x = 336,252,216.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.