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Finding the Third Proportional to 188,188,436 and 407,653,499

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Solution

The third proportional to 188,188,436 and 407,653,499 is: 883,058,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,188,436 : 407,653,499 = 407,653,499 : x
  2. Step 2: Convert to fraction form
    188,188,436/407,653,499 = 407,653,499/x
  3. Step 3: Cross multiply
    188,188,436x = 407,653,499 × 407,653,499
  4. Step 4: Simplify right side
    188,188,436x = 166,181,375,246,943,008
  5. Step 5: Solve for x
    x = 166,181,375,246,943,008/188,188,436
  6. Step 6: Final answer
    x = 883,058,379.03

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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.