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Finding the Third Proportional to 198,168,476 and 414,405,944

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Solution

The third proportional to 198,168,476 and 414,405,944 is: 866,597,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,168,476 : 414,405,944 = 414,405,944 : x
  2. Step 2: Convert to fraction form
    198,168,476/414,405,944 = 414,405,944/x
  3. Step 3: Cross multiply
    198,168,476x = 414,405,944 × 414,405,944
  4. Step 4: Simplify right side
    198,168,476x = 171,732,286,422,531,136
  5. Step 5: Solve for x
    x = 171,732,286,422,531,136/198,168,476
  6. Step 6: Final answer
    x = 866,597,401.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.