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Finding the Third Proportional to 80,777,364 and 173,871,912

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Solution

The third proportional to 80,777,364 and 173,871,912 is: 374,256,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,777,364 : 173,871,912 = 173,871,912 : x
  2. Step 2: Convert to fraction form
    80,777,364/173,871,912 = 173,871,912/x
  3. Step 3: Cross multiply
    80,777,364x = 173,871,912 × 173,871,912
  4. Step 4: Simplify right side
    80,777,364x = 30,231,441,782,535,744
  5. Step 5: Solve for x
    x = 30,231,441,782,535,744/80,777,364
  6. Step 6: Final answer
    x = 374,256,354.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.