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Finding the Third Proportional to 168,271,567 and 258,485,731

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Solution

The third proportional to 168,271,567 and 258,485,731 is: 397,065,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,567 : 258,485,731 = 258,485,731 : x
  2. Step 2: Convert to fraction form
    168,271,567/258,485,731 = 258,485,731/x
  3. Step 3: Cross multiply
    168,271,567x = 258,485,731 × 258,485,731
  4. Step 4: Simplify right side
    168,271,567x = 66,814,873,130,604,360
  5. Step 5: Solve for x
    x = 66,814,873,130,604,360/168,271,567
  6. Step 6: Final answer
    x = 397,065,733.22

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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.