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Finding the Third Proportional to 106,889,611.50 and 165,243,027

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Solution

The third proportional to 106,889,611.50 and 165,243,027 is: 255,452,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,889,611.50 : 165,243,027 = 165,243,027 : x
  2. Step 2: Convert to fraction form
    106,889,611.50/165,243,027 = 165,243,027/x
  3. Step 3: Cross multiply
    106,889,611.50x = 165,243,027 × 165,243,027
  4. Step 4: Simplify right side
    106,889,611.50x = 27,305,257,972,122,728
  5. Step 5: Solve for x
    x = 27,305,257,972,122,728/106,889,611.50
  6. Step 6: Final answer
    x = 255,452,869.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.