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Finding the Third Proportional to 188,185,107.94 and 407,640,762

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Solution

The third proportional to 188,185,107.94 and 407,640,762 is: 883,018,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,185,107.94 : 407,640,762 = 407,640,762 : x
  2. Step 2: Convert to fraction form
    188,185,107.94/407,640,762 = 407,640,762/x
  3. Step 3: Cross multiply
    188,185,107.94x = 407,640,762 × 407,640,762
  4. Step 4: Simplify right side
    188,185,107.94x = 166,170,990,843,940,640
  5. Step 5: Solve for x
    x = 166,170,990,843,940,640/188,185,107.94
  6. Step 6: Final answer
    x = 883,018,814.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.