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Finding the Third Proportional to 147,274,219 and 320,405,714

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Solution

The third proportional to 147,274,219 and 320,405,714 is: 697,065,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274,219 : 320,405,714 = 320,405,714 : x
  2. Step 2: Convert to fraction form
    147,274,219/320,405,714 = 320,405,714/x
  3. Step 3: Cross multiply
    147,274,219x = 320,405,714 × 320,405,714
  4. Step 4: Simplify right side
    147,274,219x = 102,659,821,563,849,792
  5. Step 5: Solve for x
    x = 102,659,821,563,849,792/147,274,219
  6. Step 6: Final answer
    x = 697,065,801.88

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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.