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Finding the Third Proportional to 146,218,257 and 321,135,975

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Solution

The third proportional to 146,218,257 and 321,135,975 is: 705,303,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,257 : 321,135,975 = 321,135,975 : x
  2. Step 2: Convert to fraction form
    146,218,257/321,135,975 = 321,135,975/x
  3. Step 3: Cross multiply
    146,218,257x = 321,135,975 × 321,135,975
  4. Step 4: Simplify right side
    146,218,257x = 103,128,314,439,200,624
  5. Step 5: Solve for x
    x = 103,128,314,439,200,624/146,218,257
  6. Step 6: Final answer
    x = 705,303,951.47

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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.