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Finding the Third Proportional to 146,218,289 and 321,136,039

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Solution

The third proportional to 146,218,289 and 321,136,039 is: 705,304,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,289 : 321,136,039 = 321,136,039 : x
  2. Step 2: Convert to fraction form
    146,218,289/321,136,039 = 321,136,039/x
  3. Step 3: Cross multiply
    146,218,289x = 321,136,039 × 321,136,039
  4. Step 4: Simplify right side
    146,218,289x = 103,128,355,544,609,520
  5. Step 5: Solve for x
    x = 103,128,355,544,609,520/146,218,289
  6. Step 6: Final answer
    x = 705,304,078.24

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Why These Related Problems?

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