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Finding the Third Proportional to 185,136,475.50 and 398,135,277

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Solution

The third proportional to 185,136,475.50 and 398,135,277 is: 856,188,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136,475.50 : 398,135,277 = 398,135,277 : x
  2. Step 2: Convert to fraction form
    185,136,475.50/398,135,277 = 398,135,277/x
  3. Step 3: Cross multiply
    185,136,475.50x = 398,135,277 × 398,135,277
  4. Step 4: Simplify right side
    185,136,475.50x = 158,511,698,791,866,720
  5. Step 5: Solve for x
    x = 158,511,698,791,866,720/185,136,475.50
  6. Step 6: Final answer
    x = 856,188,378.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.