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Finding the Third Proportional to 151,646,342 and 327,456,832

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Solution

The third proportional to 151,646,342 and 327,456,832 is: 707,092,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,342 : 327,456,832 = 327,456,832 : x
  2. Step 2: Convert to fraction form
    151,646,342/327,456,832 = 327,456,832/x
  3. Step 3: Cross multiply
    151,646,342x = 327,456,832 × 327,456,832
  4. Step 4: Simplify right side
    151,646,342x = 107,227,976,823,476,224
  5. Step 5: Solve for x
    x = 107,227,976,823,476,224/151,646,342
  6. Step 6: Final answer
    x = 707,092,405.98

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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.