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Finding the Third Proportional to 146,228,868 and 321,157,008

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Solution

The third proportional to 146,228,868 and 321,157,008 is: 705,345,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,228,868 : 321,157,008 = 321,157,008 : x
  2. Step 2: Convert to fraction form
    146,228,868/321,157,008 = 321,157,008/x
  3. Step 3: Cross multiply
    146,228,868x = 321,157,008 × 321,157,008
  4. Step 4: Simplify right side
    146,228,868x = 103,141,823,787,512,064
  5. Step 5: Solve for x
    x = 103,141,823,787,512,064/146,228,868
  6. Step 6: Final answer
    x = 705,345,156.52

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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.