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Finding the Third Proportional to 160,192,686 and 248,159,505

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Solution

The third proportional to 160,192,686 and 248,159,505 is: 384,431,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,192,686 : 248,159,505 = 248,159,505 : x
  2. Step 2: Convert to fraction form
    160,192,686/248,159,505 = 248,159,505/x
  3. Step 3: Cross multiply
    160,192,686x = 248,159,505 × 248,159,505
  4. Step 4: Simplify right side
    160,192,686x = 61,583,139,921,845,024
  5. Step 5: Solve for x
    x = 61,583,139,921,845,024/160,192,686
  6. Step 6: Final answer
    x = 384,431,658.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.