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Finding the Third Proportional to 200,864,628,297.57 and 433,682,454,024

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Solution

The third proportional to 200,864,628,297.57 and 433,682,454,024 is: 936,354,362,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,864,628,297.57 : 433,682,454,024 = 433,682,454,024 : x
  2. Step 2: Convert to fraction form
    200,864,628,297.57/433,682,454,024 = 433,682,454,024/x
  3. Step 3: Cross multiply
    200,864,628,297.57x = 433,682,454,024 × 433,682,454,024
  4. Step 4: Simplify right side
    200,864,628,297.57x = 188,080,470,928,278,878,683,136
  5. Step 5: Solve for x
    x = 188,080,470,928,278,878,683,136/200,864,628,297.57
  6. Step 6: Final answer
    x = 936,354,362,250.62

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Why These Related Problems?

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