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Finding the Third Proportional to 142,026,954 and 305,993,946

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Solution

The third proportional to 142,026,954 and 305,993,946 is: 659,257,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,026,954 : 305,993,946 = 305,993,946 : x
  2. Step 2: Convert to fraction form
    142,026,954/305,993,946 = 305,993,946/x
  3. Step 3: Cross multiply
    142,026,954x = 305,993,946 × 305,993,946
  4. Step 4: Simplify right side
    142,026,954x = 93,632,294,988,650,912
  5. Step 5: Solve for x
    x = 93,632,294,988,650,912/142,026,954
  6. Step 6: Final answer
    x = 659,257,220.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.