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Finding the Third Proportional to 122,464,729,857 and 170,277,418,023

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Solution

The third proportional to 122,464,729,857 and 170,277,418,023 is: 236,757,139,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,464,729,857 : 170,277,418,023 = 170,277,418,023 : x
  2. Step 2: Convert to fraction form
    122,464,729,857/170,277,418,023 = 170,277,418,023/x
  3. Step 3: Cross multiply
    122,464,729,857x = 170,277,418,023 × 170,277,418,023
  4. Step 4: Simplify right side
    122,464,729,857x = 28,994,399,088,579,486,679,040
  5. Step 5: Solve for x
    x = 28,994,399,088,579,486,679,040/122,464,729,857
  6. Step 6: Final answer
    x = 236,757,139,157.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.