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Finding the Third Proportional to 166,083,900 and 388,046,944

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Solution

The third proportional to 166,083,900 and 388,046,944 is: 906,652,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,083,900 : 388,046,944 = 388,046,944 : x
  2. Step 2: Convert to fraction form
    166,083,900/388,046,944 = 388,046,944/x
  3. Step 3: Cross multiply
    166,083,900x = 388,046,944 × 388,046,944
  4. Step 4: Simplify right side
    166,083,900x = 150,580,430,747,739,136
  5. Step 5: Solve for x
    x = 150,580,430,747,739,136/166,083,900
  6. Step 6: Final answer
    x = 906,652,786.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.