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Finding the Third Proportional to 151,646,340 and 327,456,828

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Solution

The third proportional to 151,646,340 and 327,456,828 is: 707,092,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,340 : 327,456,828 = 327,456,828 : x
  2. Step 2: Convert to fraction form
    151,646,340/327,456,828 = 327,456,828/x
  3. Step 3: Cross multiply
    151,646,340x = 327,456,828 × 327,456,828
  4. Step 4: Simplify right side
    151,646,340x = 107,227,974,203,821,584
  5. Step 5: Solve for x
    x = 107,227,974,203,821,584/151,646,340
  6. Step 6: Final answer
    x = 707,092,398.03

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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.