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Finding the Third Proportional to 195,005,114,160 and 395,493,328,314

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Solution

The third proportional to 195,005,114,160 and 395,493,328,314 is: 802,107,028,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,114,160 : 395,493,328,314 = 395,493,328,314 : x
  2. Step 2: Convert to fraction form
    195,005,114,160/395,493,328,314 = 395,493,328,314/x
  3. Step 3: Cross multiply
    195,005,114,160x = 395,493,328,314 × 395,493,328,314
  4. Step 4: Simplify right side
    195,005,114,160x = 156,414,972,740,885,400,256,512
  5. Step 5: Solve for x
    x = 156,414,972,740,885,400,256,512/195,005,114,160
  6. Step 6: Final answer
    x = 802,107,028,908.73

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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.