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Finding the Third Proportional to 151,436,340 and 329,405,736

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Solution

The third proportional to 151,436,340 and 329,405,736 is: 716,526,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436,340 : 329,405,736 = 329,405,736 : x
  2. Step 2: Convert to fraction form
    151,436,340/329,405,736 = 329,405,736/x
  3. Step 3: Cross multiply
    151,436,340x = 329,405,736 × 329,405,736
  4. Step 4: Simplify right side
    151,436,340x = 108,508,138,909,701,696
  5. Step 5: Solve for x
    x = 108,508,138,909,701,696/151,436,340
  6. Step 6: Final answer
    x = 716,526,422.32

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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.