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Finding the Third Proportional to 151,625,576 and 327,460,760

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Solution

The third proportional to 151,625,576 and 327,460,760 is: 707,206,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,625,576 : 327,460,760 = 327,460,760 : x
  2. Step 2: Convert to fraction form
    151,625,576/327,460,760 = 327,460,760/x
  3. Step 3: Cross multiply
    151,625,576x = 327,460,760 × 327,460,760
  4. Step 4: Simplify right side
    151,625,576x = 107,230,549,339,777,600
  5. Step 5: Solve for x
    x = 107,230,549,339,777,600/151,625,576
  6. Step 6: Final answer
    x = 707,206,212.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.