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Finding the Third Proportional to 195,005,117,468 and 395,493,334,780

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Solution

The third proportional to 195,005,117,468 and 395,493,334,780 is: 802,107,041,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,117,468 : 395,493,334,780 = 395,493,334,780 : x
  2. Step 2: Convert to fraction form
    195,005,117,468/395,493,334,780 = 395,493,334,780/x
  3. Step 3: Cross multiply
    195,005,117,468x = 395,493,334,780 × 395,493,334,780
  4. Step 4: Simplify right side
    195,005,117,468x = 156,414,977,855,405,168,787,456
  5. Step 5: Solve for x
    x = 156,414,977,855,405,168,787,456/195,005,117,468
  6. Step 6: Final answer
    x = 802,107,041,529.68

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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.