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Finding the Third Proportional to 204,417,523.13 and 445,832,479.69

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Solution

The third proportional to 204,417,523.13 and 445,832,479.69 is: 972,355,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,417,523.13 : 445,832,479.69 = 445,832,479.69 : x
  2. Step 2: Convert to fraction form
    204,417,523.13/445,832,479.69 = 445,832,479.69/x
  3. Step 3: Cross multiply
    204,417,523.13x = 445,832,479.69 × 445,832,479.69
  4. Step 4: Simplify right side
    204,417,523.13x = 198,766,599,944,305,088
  5. Step 5: Solve for x
    x = 198,766,599,944,305,088/204,417,523.13
  6. Step 6: Final answer
    x = 972,355,974.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.