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Finding the Third Proportional to 185,300,452 and 399,320,800

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Solution

The third proportional to 185,300,452 and 399,320,800 is: 860,532,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,300,452 : 399,320,800 = 399,320,800 : x
  2. Step 2: Convert to fraction form
    185,300,452/399,320,800 = 399,320,800/x
  3. Step 3: Cross multiply
    185,300,452x = 399,320,800 × 399,320,800
  4. Step 4: Simplify right side
    185,300,452x = 159,457,101,312,640,000
  5. Step 5: Solve for x
    x = 159,457,101,312,640,000/185,300,452
  6. Step 6: Final answer
    x = 860,532,716.42

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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.