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Finding the Third Proportional to 141,197,694.75 and 305,083,415.25

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Solution

The third proportional to 141,197,694.75 and 305,083,415.25 is: 659,188,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,197,694.75 : 305,083,415.25 = 305,083,415.25 : x
  2. Step 2: Convert to fraction form
    141,197,694.75/305,083,415.25 = 305,083,415.25/x
  3. Step 3: Cross multiply
    141,197,694.75x = 305,083,415.25 × 305,083,415.25
  4. Step 4: Simplify right side
    141,197,694.75x = 93,075,890,260,603,936
  5. Step 5: Solve for x
    x = 93,075,890,260,603,936/141,197,694.75
  6. Step 6: Final answer
    x = 659,188,455.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.