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Finding the Third Proportional to 151,436,336 and 329,405,728

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Solution

The third proportional to 151,436,336 and 329,405,728 is: 716,526,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436,336 : 329,405,728 = 329,405,728 : x
  2. Step 2: Convert to fraction form
    151,436,336/329,405,728 = 329,405,728/x
  3. Step 3: Cross multiply
    151,436,336x = 329,405,728 × 329,405,728
  4. Step 4: Simplify right side
    151,436,336x = 108,508,133,639,209,984
  5. Step 5: Solve for x
    x = 108,508,133,639,209,984/151,436,336
  6. Step 6: Final answer
    x = 716,526,406.44

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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.