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Finding the Third Proportional to 145,453,096 and 313,979,474

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Solution

The third proportional to 145,453,096 and 313,979,474 is: 677,765,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,096 : 313,979,474 = 313,979,474 : x
  2. Step 2: Convert to fraction form
    145,453,096/313,979,474 = 313,979,474/x
  3. Step 3: Cross multiply
    145,453,096x = 313,979,474 × 313,979,474
  4. Step 4: Simplify right side
    145,453,096x = 98,583,110,093,316,672
  5. Step 5: Solve for x
    x = 98,583,110,093,316,672/145,453,096
  6. Step 6: Final answer
    x = 677,765,635.83

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Why These Related Problems?

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