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Finding the Third Proportional to 77,639,224 and 166,184,912

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Solution

The third proportional to 77,639,224 and 166,184,912 is: 355,714,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639,224 : 166,184,912 = 166,184,912 : x
  2. Step 2: Convert to fraction form
    77,639,224/166,184,912 = 166,184,912/x
  3. Step 3: Cross multiply
    77,639,224x = 166,184,912 × 166,184,912
  4. Step 4: Simplify right side
    77,639,224x = 27,617,424,976,447,744
  5. Step 5: Solve for x
    x = 27,617,424,976,447,744/77,639,224
  6. Step 6: Final answer
    x = 355,714,850.74

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Why These Related Problems?

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