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Finding the Third Proportional to 79,768,176 and 173,512,512

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Solution

The third proportional to 79,768,176 and 173,512,512 is: 377,426,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,768,176 : 173,512,512 = 173,512,512 : x
  2. Step 2: Convert to fraction form
    79,768,176/173,512,512 = 173,512,512/x
  3. Step 3: Cross multiply
    79,768,176x = 173,512,512 × 173,512,512
  4. Step 4: Simplify right side
    79,768,176x = 30,106,591,820,550,144
  5. Step 5: Solve for x
    x = 30,106,591,820,550,144/79,768,176
  6. Step 6: Final answer
    x = 377,426,103.12

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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.