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Finding the Third Proportional to 146,228,872 and 321,157,016

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Solution

The third proportional to 146,228,872 and 321,157,016 is: 705,345,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,228,872 : 321,157,016 = 321,157,016 : x
  2. Step 2: Convert to fraction form
    146,228,872/321,157,016 = 321,157,016/x
  3. Step 3: Cross multiply
    146,228,872x = 321,157,016 × 321,157,016
  4. Step 4: Simplify right side
    146,228,872x = 103,141,828,926,024,256
  5. Step 5: Solve for x
    x = 103,141,828,926,024,256/146,228,872
  6. Step 6: Final answer
    x = 705,345,172.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.