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Finding the Third Proportional to 101,293,638.75 and 206,167,396.50

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Solution

The third proportional to 101,293,638.75 and 206,167,396.50 is: 419,621,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,293,638.75 : 206,167,396.50 = 206,167,396.50 : x
  2. Step 2: Convert to fraction form
    101,293,638.75/206,167,396.50 = 206,167,396.50/x
  3. Step 3: Cross multiply
    101,293,638.75x = 206,167,396.50 × 206,167,396.50
  4. Step 4: Simplify right side
    101,293,638.75x = 42,504,995,379,588,216
  5. Step 5: Solve for x
    x = 42,504,995,379,588,216/101,293,638.75
  6. Step 6: Final answer
    x = 419,621,566.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.