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Finding the Third Proportional to 138,635,264 and 300,388,048

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Solution

The third proportional to 138,635,264 and 300,388,048 is: 650,865,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,635,264 : 300,388,048 = 300,388,048 : x
  2. Step 2: Convert to fraction form
    138,635,264/300,388,048 = 300,388,048/x
  3. Step 3: Cross multiply
    138,635,264x = 300,388,048 × 300,388,048
  4. Step 4: Simplify right side
    138,635,264x = 90,232,979,381,250,304
  5. Step 5: Solve for x
    x = 90,232,979,381,250,304/138,635,264
  6. Step 6: Final answer
    x = 650,865,997.42

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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.