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Finding the Third Proportional to 167,198,356 and 258,252,606

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Solution

The third proportional to 167,198,356 and 258,252,606 is: 398,893,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,356 : 258,252,606 = 258,252,606 : x
  2. Step 2: Convert to fraction form
    167,198,356/258,252,606 = 258,252,606/x
  3. Step 3: Cross multiply
    167,198,356x = 258,252,606 × 258,252,606
  4. Step 4: Simplify right side
    167,198,356x = 66,694,408,505,791,232
  5. Step 5: Solve for x
    x = 66,694,408,505,791,232/167,198,356
  6. Step 6: Final answer
    x = 398,893,925.16

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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.