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Finding the Third Proportional to 168,271,770 and 258,486,042

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Solution

The third proportional to 168,271,770 and 258,486,042 is: 397,066,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,770 : 258,486,042 = 258,486,042 : x
  2. Step 2: Convert to fraction form
    168,271,770/258,486,042 = 258,486,042/x
  3. Step 3: Cross multiply
    168,271,770x = 258,486,042 × 258,486,042
  4. Step 4: Simplify right side
    168,271,770x = 66,815,033,908,825,760
  5. Step 5: Solve for x
    x = 66,815,033,908,825,760/168,271,770
  6. Step 6: Final answer
    x = 397,066,209.67

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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.