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Finding the Third Proportional to 194,544,762 and 303,595,193

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Solution

The third proportional to 194,544,762 and 303,595,193 is: 473,772,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544,762 : 303,595,193 = 303,595,193 : x
  2. Step 2: Convert to fraction form
    194,544,762/303,595,193 = 303,595,193/x
  3. Step 3: Cross multiply
    194,544,762x = 303,595,193 × 303,595,193
  4. Step 4: Simplify right side
    194,544,762x = 92,170,041,212,707,248
  5. Step 5: Solve for x
    x = 92,170,041,212,707,248/194,544,762
  6. Step 6: Final answer
    x = 473,772,926.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.