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Finding the Third Proportional to 73,137,249 and 152,327,871

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Solution

The third proportional to 73,137,249 and 152,327,871 is: 317,263,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137,249 : 152,327,871 = 152,327,871 : x
  2. Step 2: Convert to fraction form
    73,137,249/152,327,871 = 152,327,871/x
  3. Step 3: Cross multiply
    73,137,249x = 152,327,871 × 152,327,871
  4. Step 4: Simplify right side
    73,137,249x = 23,203,780,283,392,640
  5. Step 5: Solve for x
    x = 23,203,780,283,392,640/73,137,249
  6. Step 6: Final answer
    x = 317,263,509.37

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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.