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Finding the Third Proportional to 205,541,674.88 and 485,057,467.13

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Solution

The third proportional to 205,541,674.88 and 485,057,467.13 is: 1,144,686,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,541,674.88 : 485,057,467.13 = 485,057,467.13 : x
  2. Step 2: Convert to fraction form
    205,541,674.88/485,057,467.13 = 485,057,467.13/x
  3. Step 3: Cross multiply
    205,541,674.88x = 485,057,467.13 × 485,057,467.13
  4. Step 4: Simplify right side
    205,541,674.88x = 235,280,746,413,720,448
  5. Step 5: Solve for x
    x = 235,280,746,413,720,448/205,541,674.88
  6. Step 6: Final answer
    x = 1,144,686,334.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.