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Finding the Third Proportional to 151,646,250 and 327,456,652

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Solution

The third proportional to 151,646,250 and 327,456,652 is: 707,092,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,250 : 327,456,652 = 327,456,652 : x
  2. Step 2: Convert to fraction form
    151,646,250/327,456,652 = 327,456,652/x
  3. Step 3: Cross multiply
    151,646,250x = 327,456,652 × 327,456,652
  4. Step 4: Simplify right side
    151,646,250x = 107,227,858,939,049,104
  5. Step 5: Solve for x
    x = 107,227,858,939,049,104/151,646,250
  6. Step 6: Final answer
    x = 707,092,057.59

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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.