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Finding the Third Proportional to 101,293,200 and 206,166,168

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Solution

The third proportional to 101,293,200 and 206,166,168 is: 419,618,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,293,200 : 206,166,168 = 206,166,168 : x
  2. Step 2: Convert to fraction form
    101,293,200/206,166,168 = 206,166,168/x
  3. Step 3: Cross multiply
    101,293,200x = 206,166,168 × 206,166,168
  4. Step 4: Simplify right side
    101,293,200x = 42,504,488,827,804,224
  5. Step 5: Solve for x
    x = 42,504,488,827,804,224/101,293,200
  6. Step 6: Final answer
    x = 419,618,383.34

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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.