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Finding the Third Proportional to 73,137,170 and 152,327,713

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Solution

The third proportional to 73,137,170 and 152,327,713 is: 317,263,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137,170 : 152,327,713 = 152,327,713 : x
  2. Step 2: Convert to fraction form
    73,137,170/152,327,713 = 152,327,713/x
  3. Step 3: Cross multiply
    73,137,170x = 152,327,713 × 152,327,713
  4. Step 4: Simplify right side
    73,137,170x = 23,203,732,147,810,368
  5. Step 5: Solve for x
    x = 23,203,732,147,810,368/73,137,170
  6. Step 6: Final answer
    x = 317,263,193.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.