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Finding the Third Proportional to 151,436,338 and 329,405,732

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Solution

The third proportional to 151,436,338 and 329,405,732 is: 716,526,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436,338 : 329,405,732 = 329,405,732 : x
  2. Step 2: Convert to fraction form
    151,436,338/329,405,732 = 329,405,732/x
  3. Step 3: Cross multiply
    151,436,338x = 329,405,732 × 329,405,732
  4. Step 4: Simplify right side
    151,436,338x = 108,508,136,274,455,824
  5. Step 5: Solve for x
    x = 108,508,136,274,455,824/151,436,338
  6. Step 6: Final answer
    x = 716,526,414.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.