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Finding the Third Proportional to 206,865,214 and 445,115,254

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Solution

The third proportional to 206,865,214 and 445,115,254 is: 957,761,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,865,214 : 445,115,254 = 445,115,254 : x
  2. Step 2: Convert to fraction form
    206,865,214/445,115,254 = 445,115,254/x
  3. Step 3: Cross multiply
    206,865,214x = 445,115,254 × 445,115,254
  4. Step 4: Simplify right side
    206,865,214x = 198,127,589,343,484,512
  5. Step 5: Solve for x
    x = 198,127,589,343,484,512/206,865,214
  6. Step 6: Final answer
    x = 957,761,749.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.