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Finding the Third Proportional to 168,271,747.50 and 258,486,000

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Solution

The third proportional to 168,271,747.50 and 258,486,000 is: 397,066,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,747.50 : 258,486,000 = 258,486,000 : x
  2. Step 2: Convert to fraction form
    168,271,747.50/258,486,000 = 258,486,000/x
  3. Step 3: Cross multiply
    168,271,747.50x = 258,486,000 × 258,486,000
  4. Step 4: Simplify right side
    168,271,747.50x = 66,815,012,196,000,000
  5. Step 5: Solve for x
    x = 66,815,012,196,000,000/168,271,747.50
  6. Step 6: Final answer
    x = 397,066,133.73

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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.