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Finding the Third Proportional to 142,026,966 and 305,993,970

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Solution

The third proportional to 142,026,966 and 305,993,970 is: 659,257,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,026,966 : 305,993,970 = 305,993,970 : x
  2. Step 2: Convert to fraction form
    142,026,966/305,993,970 = 305,993,970/x
  3. Step 3: Cross multiply
    142,026,966x = 305,993,970 × 305,993,970
  4. Step 4: Simplify right side
    142,026,966x = 93,632,309,676,360,896
  5. Step 5: Solve for x
    x = 93,632,309,676,360,896/142,026,966
  6. Step 6: Final answer
    x = 659,257,268.63

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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.