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Finding the Third Proportional to 47,050,193 and 101,916,997.50

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Solution

The third proportional to 47,050,193 and 101,916,997.50 is: 220,765,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050,193 : 101,916,997.50 = 101,916,997.50 : x
  2. Step 2: Convert to fraction form
    47,050,193/101,916,997.50 = 101,916,997.50/x
  3. Step 3: Cross multiply
    47,050,193x = 101,916,997.50 × 101,916,997.50
  4. Step 4: Simplify right side
    47,050,193x = 10,387,074,379,415,006
  5. Step 5: Solve for x
    x = 10,387,074,379,415,006/47,050,193
  6. Step 6: Final answer
    x = 220,765,818.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.