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Finding the Third Proportional to 248,008,611 and 408,372,336

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Solution

The third proportional to 248,008,611 and 408,372,336 is: 672,428,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,008,611 : 408,372,336 = 408,372,336 : x
  2. Step 2: Convert to fraction form
    248,008,611/408,372,336 = 408,372,336/x
  3. Step 3: Cross multiply
    248,008,611x = 408,372,336 × 408,372,336
  4. Step 4: Simplify right side
    248,008,611x = 166,767,964,810,096,896
  5. Step 5: Solve for x
    x = 166,767,964,810,096,896/248,008,611
  6. Step 6: Final answer
    x = 672,428,123.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.