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Finding the Third Proportional to 188,185,136 and 407,640,814

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Solution

The third proportional to 188,185,136 and 407,640,814 is: 883,018,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,185,136 : 407,640,814 = 407,640,814 : x
  2. Step 2: Convert to fraction form
    188,185,136/407,640,814 = 407,640,814/x
  3. Step 3: Cross multiply
    188,185,136x = 407,640,814 × 407,640,814
  4. Step 4: Simplify right side
    188,185,136x = 166,171,033,238,582,592
  5. Step 5: Solve for x
    x = 166,171,033,238,582,592/188,185,136
  6. Step 6: Final answer
    x = 883,018,907.71

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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.