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Finding the Third Proportional to 200,864,628,371.82 and 433,682,454,111.75

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Solution

The third proportional to 200,864,628,371.82 and 433,682,454,111.75 is: 936,354,362,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,864,628,371.82 : 433,682,454,111.75 = 433,682,454,111.75 : x
  2. Step 2: Convert to fraction form
    200,864,628,371.82/433,682,454,111.75 = 433,682,454,111.75/x
  3. Step 3: Cross multiply
    200,864,628,371.82x = 433,682,454,111.75 × 433,682,454,111.75
  4. Step 4: Simplify right side
    200,864,628,371.82x = 188,080,471,004,390,128,353,280
  5. Step 5: Solve for x
    x = 188,080,471,004,390,128,353,280/200,864,628,371.82
  6. Step 6: Final answer
    x = 936,354,362,283.41

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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.