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Finding the Third Proportional to 189,117,372 and 414,106,728

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Solution

The third proportional to 189,117,372 and 414,106,728 is: 906,761,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,117,372 : 414,106,728 = 414,106,728 : x
  2. Step 2: Convert to fraction form
    189,117,372/414,106,728 = 414,106,728/x
  3. Step 3: Cross multiply
    189,117,372x = 414,106,728 × 414,106,728
  4. Step 4: Simplify right side
    189,117,372x = 171,484,382,174,865,984
  5. Step 5: Solve for x
    x = 171,484,382,174,865,984/189,117,372
  6. Step 6: Final answer
    x = 906,761,660.03

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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.