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Finding the Third Proportional to 189,100,360 and 414,072,984

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Solution

The third proportional to 189,100,360 and 414,072,984 is: 906,695,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100,360 : 414,072,984 = 414,072,984 : x
  2. Step 2: Convert to fraction form
    189,100,360/414,072,984 = 414,072,984/x
  3. Step 3: Cross multiply
    189,100,360x = 414,072,984 × 414,072,984
  4. Step 4: Simplify right side
    189,100,360x = 171,456,436,078,664,256
  5. Step 5: Solve for x
    x = 171,456,436,078,664,256/189,100,360
  6. Step 6: Final answer
    x = 906,695,450.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.