Home / 204,247,061,762.64-446,969,792,813.90

Finding the Third Proportional to 204,247,061,762.64 and 446,969,792,813.90

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Solution

The third proportional to 204,247,061,762.64 and 446,969,792,813.90 is: 978,138,896,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,247,061,762.64 : 446,969,792,813.90 = 446,969,792,813.90 : x
  2. Step 2: Convert to fraction form
    204,247,061,762.64/446,969,792,813.90 = 446,969,792,813.90/x
  3. Step 3: Cross multiply
    204,247,061,762.64x = 446,969,792,813.90 × 446,969,792,813.90
  4. Step 4: Simplify right side
    204,247,061,762.64x = 199,781,995,688,100,704,026,624
  5. Step 5: Solve for x
    x = 199,781,995,688,100,704,026,624/204,247,061,762.64
  6. Step 6: Final answer
    x = 978,138,896,902.58

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Why These Related Problems?

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