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Finding the Third Proportional to 149,152,106,658 and 319,578,859,431

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Solution

The third proportional to 149,152,106,658 and 319,578,859,431 is: 684,741,568,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,152,106,658 : 319,578,859,431 = 319,578,859,431 : x
  2. Step 2: Convert to fraction form
    149,152,106,658/319,578,859,431 = 319,578,859,431/x
  3. Step 3: Cross multiply
    149,152,106,658x = 319,578,859,431 × 319,578,859,431
  4. Step 4: Simplify right side
    149,152,106,658x = 102,130,647,395,218,860,539,904
  5. Step 5: Solve for x
    x = 102,130,647,395,218,860,539,904/149,152,106,658
  6. Step 6: Final answer
    x = 684,741,568,078.56

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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.