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Finding the Third Proportional to 190,997,568 and 409,223,232

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Solution

The third proportional to 190,997,568 and 409,223,232 is: 876,784,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,997,568 : 409,223,232 = 409,223,232 : x
  2. Step 2: Convert to fraction form
    190,997,568/409,223,232 = 409,223,232/x
  3. Step 3: Cross multiply
    190,997,568x = 409,223,232 × 409,223,232
  4. Step 4: Simplify right side
    190,997,568x = 167,463,653,608,525,824
  5. Step 5: Solve for x
    x = 167,463,653,608,525,824/190,997,568
  6. Step 6: Final answer
    x = 876,784,219.62

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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.