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Finding the Third Proportional to 214,467,064.50 and 321,412,459.50

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Solution

The third proportional to 214,467,064.50 and 321,412,459.50 is: 481,686,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,467,064.50 : 321,412,459.50 = 321,412,459.50 : x
  2. Step 2: Convert to fraction form
    214,467,064.50/321,412,459.50 = 321,412,459.50/x
  3. Step 3: Cross multiply
    214,467,064.50x = 321,412,459.50 × 321,412,459.50
  4. Step 4: Simplify right side
    214,467,064.50x = 103,305,969,121,839,136
  5. Step 5: Solve for x
    x = 103,305,969,121,839,136/214,467,064.50
  6. Step 6: Final answer
    x = 481,686,870.49

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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.