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Finding the Third Proportional to 101,785,545 and 219,714,063

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Solution

The third proportional to 101,785,545 and 219,714,063 is: 474,274,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785,545 : 219,714,063 = 219,714,063 : x
  2. Step 2: Convert to fraction form
    101,785,545/219,714,063 = 219,714,063/x
  3. Step 3: Cross multiply
    101,785,545x = 219,714,063 × 219,714,063
  4. Step 4: Simplify right side
    101,785,545x = 48,274,269,479,967,968
  5. Step 5: Solve for x
    x = 48,274,269,479,967,968/101,785,545
  6. Step 6: Final answer
    x = 474,274,313.51

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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.