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Finding the Third Proportional to 151,646,084 and 327,456,016

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Solution

The third proportional to 151,646,084 and 327,456,016 is: 707,090,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,084 : 327,456,016 = 327,456,016 : x
  2. Step 2: Convert to fraction form
    151,646,084/327,456,016 = 327,456,016/x
  3. Step 3: Cross multiply
    151,646,084x = 327,456,016 × 327,456,016
  4. Step 4: Simplify right side
    151,646,084x = 107,227,442,414,592,256
  5. Step 5: Solve for x
    x = 107,227,442,414,592,256/151,646,084
  6. Step 6: Final answer
    x = 707,090,084.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.