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Finding the Third Proportional to 55,227,836 and 120,152,150

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Solution

The third proportional to 55,227,836 and 120,152,150 is: 261,399,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,227,836 : 120,152,150 = 120,152,150 : x
  2. Step 2: Convert to fraction form
    55,227,836/120,152,150 = 120,152,150/x
  3. Step 3: Cross multiply
    55,227,836x = 120,152,150 × 120,152,150
  4. Step 4: Simplify right side
    55,227,836x = 14,436,539,149,622,500
  5. Step 5: Solve for x
    x = 14,436,539,149,622,500/55,227,836
  6. Step 6: Final answer
    x = 261,399,688.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.