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Finding the Third Proportional to 101,026,876 and 218,220,020

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Solution

The third proportional to 101,026,876 and 218,220,020 is: 471,359,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,876 : 218,220,020 = 218,220,020 : x
  2. Step 2: Convert to fraction form
    101,026,876/218,220,020 = 218,220,020/x
  3. Step 3: Cross multiply
    101,026,876x = 218,220,020 × 218,220,020
  4. Step 4: Simplify right side
    101,026,876x = 47,619,977,128,800,400
  5. Step 5: Solve for x
    x = 47,619,977,128,800,400/101,026,876
  6. Step 6: Final answer
    x = 471,359,493.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.