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Finding the Third Proportional to 147,274,450 and 320,405,942

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Solution

The third proportional to 147,274,450 and 320,405,942 is: 697,065,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274,450 : 320,405,942 = 320,405,942 : x
  2. Step 2: Convert to fraction form
    147,274,450/320,405,942 = 320,405,942/x
  3. Step 3: Cross multiply
    147,274,450x = 320,405,942 × 320,405,942
  4. Step 4: Simplify right side
    147,274,450x = 102,659,967,668,907,360
  5. Step 5: Solve for x
    x = 102,659,967,668,907,360/147,274,450
  6. Step 6: Final answer
    x = 697,065,700.59

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