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Finding the Third Proportional to 246,195,204 and 533,244,864

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Solution

The third proportional to 246,195,204 and 533,244,864 is: 1,154,978,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,195,204 : 533,244,864 = 533,244,864 : x
  2. Step 2: Convert to fraction form
    246,195,204/533,244,864 = 533,244,864/x
  3. Step 3: Cross multiply
    246,195,204x = 533,244,864 × 533,244,864
  4. Step 4: Simplify right side
    246,195,204x = 284,350,084,982,378,496
  5. Step 5: Solve for x
    x = 284,350,084,982,378,496/246,195,204
  6. Step 6: Final answer
    x = 1,154,978,165.14

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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.