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Finding the Third Proportional to 214,467,064 and 321,412,458

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Solution

The third proportional to 214,467,064 and 321,412,458 is: 481,686,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,467,064 : 321,412,458 = 321,412,458 : x
  2. Step 2: Convert to fraction form
    214,467,064/321,412,458 = 321,412,458/x
  3. Step 3: Cross multiply
    214,467,064x = 321,412,458 × 321,412,458
  4. Step 4: Simplify right side
    214,467,064x = 103,305,968,157,601,760
  5. Step 5: Solve for x
    x = 103,305,968,157,601,760/214,467,064
  6. Step 6: Final answer
    x = 481,686,867.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.