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Finding the Third Proportional to 68,219,311.50 and 104,963,843.25

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Solution

The third proportional to 68,219,311.50 and 104,963,843.25 is: 161,499,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,219,311.50 : 104,963,843.25 = 104,963,843.25 : x
  2. Step 2: Convert to fraction form
    68,219,311.50/104,963,843.25 = 104,963,843.25/x
  3. Step 3: Cross multiply
    68,219,311.50x = 104,963,843.25 × 104,963,843.25
  4. Step 4: Simplify right side
    68,219,311.50x = 11,017,408,389,810,570
  5. Step 5: Solve for x
    x = 11,017,408,389,810,570/68,219,311.50
  6. Step 6: Final answer
    x = 161,499,847.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.