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Finding the Third Proportional to 150,070,956 and 325,189,286

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Solution

The third proportional to 150,070,956 and 325,189,286 is: 704,653,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,070,956 : 325,189,286 = 325,189,286 : x
  2. Step 2: Convert to fraction form
    150,070,956/325,189,286 = 325,189,286/x
  3. Step 3: Cross multiply
    150,070,956x = 325,189,286 × 325,189,286
  4. Step 4: Simplify right side
    150,070,956x = 105,748,071,729,189,792
  5. Step 5: Solve for x
    x = 105,748,071,729,189,792/150,070,956
  6. Step 6: Final answer
    x = 704,653,815.42

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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.