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Finding the Third Proportional to 101,293,242 and 206,166,246

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Solution

The third proportional to 101,293,242 and 206,166,246 is: 419,618,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,293,242 : 206,166,246 = 206,166,246 : x
  2. Step 2: Convert to fraction form
    101,293,242/206,166,246 = 206,166,246/x
  3. Step 3: Cross multiply
    101,293,242x = 206,166,246 × 206,166,246
  4. Step 4: Simplify right side
    101,293,242x = 42,504,520,989,732,512
  5. Step 5: Solve for x
    x = 42,504,520,989,732,512/101,293,242
  6. Step 6: Final answer
    x = 419,618,526.87

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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.