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Finding the Third Proportional to 55,758,552.75 and 120,782,452.50

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Solution

The third proportional to 55,758,552.75 and 120,782,452.50 is: 261,635,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,552.75 : 120,782,452.50 = 120,782,452.50 : x
  2. Step 2: Convert to fraction form
    55,758,552.75/120,782,452.50 = 120,782,452.50/x
  3. Step 3: Cross multiply
    55,758,552.75x = 120,782,452.50 × 120,782,452.50
  4. Step 4: Simplify right side
    55,758,552.75x = 14,588,400,831,914,756
  5. Step 5: Solve for x
    x = 14,588,400,831,914,756/55,758,552.75
  6. Step 6: Final answer
    x = 261,635,213.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.