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Finding the Third Proportional to 250,489,302 and 402,660,243

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Solution

The third proportional to 250,489,302 and 402,660,243 is: 647,274,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,489,302 : 402,660,243 = 402,660,243 : x
  2. Step 2: Convert to fraction form
    250,489,302/402,660,243 = 402,660,243/x
  3. Step 3: Cross multiply
    250,489,302x = 402,660,243 × 402,660,243
  4. Step 4: Simplify right side
    250,489,302x = 162,135,271,292,819,040
  5. Step 5: Solve for x
    x = 162,135,271,292,819,040/250,489,302
  6. Step 6: Final answer
    x = 647,274,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.