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Finding the Third Proportional to 258,170,313,274 and 552,607,419,177

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Solution

The third proportional to 258,170,313,274 and 552,607,419,177 is: 1,182,843,045,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,170,313,274 : 552,607,419,177 = 552,607,419,177 : x
  2. Step 2: Convert to fraction form
    258,170,313,274/552,607,419,177 = 552,607,419,177/x
  3. Step 3: Cross multiply
    258,170,313,274x = 552,607,419,177 × 552,607,419,177
  4. Step 4: Simplify right side
    258,170,313,274x = 305,374,959,729,464,555,077,632
  5. Step 5: Solve for x
    x = 305,374,959,729,464,555,077,632/258,170,313,274
  6. Step 6: Final answer
    x = 1,182,843,045,960.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.