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Finding the Third Proportional to 168,271,569 and 258,485,732

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Solution

The third proportional to 168,271,569 and 258,485,732 is: 397,065,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,569 : 258,485,732 = 258,485,732 : x
  2. Step 2: Convert to fraction form
    168,271,569/258,485,732 = 258,485,732/x
  3. Step 3: Cross multiply
    168,271,569x = 258,485,732 × 258,485,732
  4. Step 4: Simplify right side
    168,271,569x = 66,814,873,647,575,824
  5. Step 5: Solve for x
    x = 66,814,873,647,575,824/168,271,569
  6. Step 6: Final answer
    x = 397,065,731.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.