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Finding the Third Proportional to 190,107,616 and 407,499,512

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Solution

The third proportional to 190,107,616 and 407,499,512 is: 873,483,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,107,616 : 407,499,512 = 407,499,512 : x
  2. Step 2: Convert to fraction form
    190,107,616/407,499,512 = 407,499,512/x
  3. Step 3: Cross multiply
    190,107,616x = 407,499,512 × 407,499,512
  4. Step 4: Simplify right side
    190,107,616x = 166,055,852,280,238,144
  5. Step 5: Solve for x
    x = 166,055,852,280,238,144/190,107,616
  6. Step 6: Final answer
    x = 873,483,428.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.