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Finding the Third Proportional to 168,560,625,397 and 397,772,905,787

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Solution

The third proportional to 168,560,625,397 and 397,772,905,787 is: 938,672,861,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,560,625,397 : 397,772,905,787 = 397,772,905,787 : x
  2. Step 2: Convert to fraction form
    168,560,625,397/397,772,905,787 = 397,772,905,787/x
  3. Step 3: Cross multiply
    168,560,625,397x = 397,772,905,787 × 397,772,905,787
  4. Step 4: Simplify right side
    168,560,625,397x = 158,223,284,578,233,576,587,264
  5. Step 5: Solve for x
    x = 158,223,284,578,233,576,587,264/168,560,625,397
  6. Step 6: Final answer
    x = 938,672,861,503.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.