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Finding the Third Proportional to 180,512,256 and 275,000,832

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Solution

The third proportional to 180,512,256 and 275,000,832 is: 418,949,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512,256 : 275,000,832 = 275,000,832 : x
  2. Step 2: Convert to fraction form
    180,512,256/275,000,832 = 275,000,832/x
  3. Step 3: Cross multiply
    180,512,256x = 275,000,832 × 275,000,832
  4. Step 4: Simplify right side
    180,512,256x = 75,625,457,600,692,224
  5. Step 5: Solve for x
    x = 75,625,457,600,692,224/180,512,256
  6. Step 6: Final answer
    x = 418,949,157.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.