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Finding the Third Proportional to 101,026,872 and 218,220,012

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Solution

The third proportional to 101,026,872 and 218,220,012 is: 471,359,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,872 : 218,220,012 = 218,220,012 : x
  2. Step 2: Convert to fraction form
    101,026,872/218,220,012 = 218,220,012/x
  3. Step 3: Cross multiply
    101,026,872x = 218,220,012 × 218,220,012
  4. Step 4: Simplify right side
    101,026,872x = 47,619,973,637,280,144
  5. Step 5: Solve for x
    x = 47,619,973,637,280,144/101,026,872
  6. Step 6: Final answer
    x = 471,359,477.88

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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.