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Finding the Third Proportional to 50,296,511,911.50 and 102,070,961,244

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Solution

The third proportional to 50,296,511,911.50 and 102,070,961,244 is: 207,141,225,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296,511,911.50 : 102,070,961,244 = 102,070,961,244 : x
  2. Step 2: Convert to fraction form
    50,296,511,911.50/102,070,961,244 = 102,070,961,244/x
  3. Step 3: Cross multiply
    50,296,511,911.50x = 102,070,961,244 × 102,070,961,244
  4. Step 4: Simplify right side
    50,296,511,911.50x = 10,418,481,129,274,149,437,440
  5. Step 5: Solve for x
    x = 10,418,481,129,274,149,437,440/50,296,511,911.50
  6. Step 6: Final answer
    x = 207,141,225,769.42

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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.