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Finding the Third Proportional to 146,218,286 and 321,136,006

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Solution

The third proportional to 146,218,286 and 321,136,006 is: 705,303,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,286 : 321,136,006 = 321,136,006 : x
  2. Step 2: Convert to fraction form
    146,218,286/321,136,006 = 321,136,006/x
  3. Step 3: Cross multiply
    146,218,286x = 321,136,006 × 321,136,006
  4. Step 4: Simplify right side
    146,218,286x = 103,128,334,349,632,032
  5. Step 5: Solve for x
    x = 103,128,334,349,632,032/146,218,286
  6. Step 6: Final answer
    x = 705,303,947.75

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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.