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Finding the Third Proportional to 195,005,117,388.50 and 395,493,334,620.50

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Solution

The third proportional to 195,005,117,388.50 and 395,493,334,620.50 is: 802,107,041,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,117,388.50 : 395,493,334,620.50 = 395,493,334,620.50 : x
  2. Step 2: Convert to fraction form
    195,005,117,388.50/395,493,334,620.50 = 395,493,334,620.50/x
  3. Step 3: Cross multiply
    195,005,117,388.50x = 395,493,334,620.50 × 395,493,334,620.50
  4. Step 4: Simplify right side
    195,005,117,388.50x = 156,414,977,729,242,786,168,832
  5. Step 5: Solve for x
    x = 156,414,977,729,242,786,168,832/195,005,117,388.50
  6. Step 6: Final answer
    x = 802,107,041,209.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.