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Finding the Third Proportional to 182,934,304,396 and 396,259,580,696

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Solution

The third proportional to 182,934,304,396 and 396,259,580,696 is: 858,349,973,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,934,304,396 : 396,259,580,696 = 396,259,580,696 : x
  2. Step 2: Convert to fraction form
    182,934,304,396/396,259,580,696 = 396,259,580,696/x
  3. Step 3: Cross multiply
    182,934,304,396x = 396,259,580,696 × 396,259,580,696
  4. Step 4: Simplify right side
    182,934,304,396x = 157,021,655,293,369,734,135,808
  5. Step 5: Solve for x
    x = 157,021,655,293,369,734,135,808/182,934,304,396
  6. Step 6: Final answer
    x = 858,349,973,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.