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Finding the Third Proportional to 195,005,114,188 and 395,493,328,381

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Solution

The third proportional to 195,005,114,188 and 395,493,328,381 is: 802,107,029,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,114,188 : 395,493,328,381 = 395,493,328,381 : x
  2. Step 2: Convert to fraction form
    195,005,114,188/395,493,328,381 = 395,493,328,381/x
  3. Step 3: Cross multiply
    195,005,114,188x = 395,493,328,381 × 395,493,328,381
  4. Step 4: Simplify right side
    195,005,114,188x = 156,414,972,793,881,505,038,336
  5. Step 5: Solve for x
    x = 156,414,972,793,881,505,038,336/195,005,114,188
  6. Step 6: Final answer
    x = 802,107,029,065.33

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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.