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Finding the Third Proportional to 166,356,684 and 370,964,136

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Solution

The third proportional to 166,356,684 and 370,964,136 is: 827,224,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356,684 : 370,964,136 = 370,964,136 : x
  2. Step 2: Convert to fraction form
    166,356,684/370,964,136 = 370,964,136/x
  3. Step 3: Cross multiply
    166,356,684x = 370,964,136 × 370,964,136
  4. Step 4: Simplify right side
    166,356,684x = 137,614,390,198,226,496
  5. Step 5: Solve for x
    x = 137,614,390,198,226,496/166,356,684
  6. Step 6: Final answer
    x = 827,224,893.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.