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Finding the Third Proportional to 220,653,562,134.75 and 315,534,969,617.25

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Solution

The third proportional to 220,653,562,134.75 and 315,534,969,617.25 is: 451,215,543,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,653,562,134.75 : 315,534,969,617.25 = 315,534,969,617.25 : x
  2. Step 2: Convert to fraction form
    220,653,562,134.75/315,534,969,617.25 = 315,534,969,617.25/x
  3. Step 3: Cross multiply
    220,653,562,134.75x = 315,534,969,617.25 × 315,534,969,617.25
  4. Step 4: Simplify right side
    220,653,562,134.75x = 99,562,317,051,358,879,940,608
  5. Step 5: Solve for x
    x = 99,562,317,051,358,879,940,608/220,653,562,134.75
  6. Step 6: Final answer
    x = 451,215,543,896.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.