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Finding the Third Proportional to 100,642,413 and 220,127,973

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Solution

The third proportional to 100,642,413 and 220,127,973 is: 481,470,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642,413 : 220,127,973 = 220,127,973 : x
  2. Step 2: Convert to fraction form
    100,642,413/220,127,973 = 220,127,973/x
  3. Step 3: Cross multiply
    100,642,413x = 220,127,973 × 220,127,973
  4. Step 4: Simplify right side
    100,642,413x = 48,456,324,497,088,728
  5. Step 5: Solve for x
    x = 48,456,324,497,088,728/100,642,413
  6. Step 6: Final answer
    x = 481,470,217.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.