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Finding the Third Proportional to 135,854,530 and 298,398,236

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Solution

The third proportional to 135,854,530 and 298,398,236 is: 655,418,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854,530 : 298,398,236 = 298,398,236 : x
  2. Step 2: Convert to fraction form
    135,854,530/298,398,236 = 298,398,236/x
  3. Step 3: Cross multiply
    135,854,530x = 298,398,236 × 298,398,236
  4. Step 4: Simplify right side
    135,854,530x = 89,041,507,247,911,696
  5. Step 5: Solve for x
    x = 89,041,507,247,911,696/135,854,530
  6. Step 6: Final answer
    x = 655,418,021.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.