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Finding the Third Proportional to 122,464,729,854 and 170,277,418,019.25

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Solution

The third proportional to 122,464,729,854 and 170,277,418,019.25 is: 236,757,139,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,464,729,854 : 170,277,418,019.25 = 170,277,418,019.25 : x
  2. Step 2: Convert to fraction form
    122,464,729,854/170,277,418,019.25 = 170,277,418,019.25/x
  3. Step 3: Cross multiply
    122,464,729,854x = 170,277,418,019.25 × 170,277,418,019.25
  4. Step 4: Simplify right side
    122,464,729,854x = 28,994,399,087,302,404,997,120
  5. Step 5: Solve for x
    x = 28,994,399,087,302,404,997,120/122,464,729,854
  6. Step 6: Final answer
    x = 236,757,139,152.38

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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.