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Finding the Third Proportional to 168,271,743.94 and 258,485,995.13

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Solution

The third proportional to 168,271,743.94 and 258,485,995.13 is: 397,066,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,743.94 : 258,485,995.13 = 258,485,995.13 : x
  2. Step 2: Convert to fraction form
    168,271,743.94/258,485,995.13 = 258,485,995.13/x
  3. Step 3: Cross multiply
    168,271,743.94x = 258,485,995.13 × 258,485,995.13
  4. Step 4: Simplify right side
    168,271,743.94x = 66,815,009,675,761,520
  5. Step 5: Solve for x
    x = 66,815,009,675,761,520/168,271,743.94
  6. Step 6: Final answer
    x = 397,066,127.16

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