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Finding the Third Proportional to 168,271,570 and 258,485,735

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Solution

The third proportional to 168,271,570 and 258,485,735 is: 397,065,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,570 : 258,485,735 = 258,485,735 : x
  2. Step 2: Convert to fraction form
    168,271,570/258,485,735 = 258,485,735/x
  3. Step 3: Cross multiply
    168,271,570x = 258,485,735 × 258,485,735
  4. Step 4: Simplify right side
    168,271,570x = 66,814,875,198,490,224
  5. Step 5: Solve for x
    x = 66,814,875,198,490,224/168,271,570
  6. Step 6: Final answer
    x = 397,065,738.43

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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.