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Finding the Third Proportional to 67,926,401 and 149,197,123

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Solution

The third proportional to 67,926,401 and 149,197,123 is: 327,704,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,926,401 : 149,197,123 = 149,197,123 : x
  2. Step 2: Convert to fraction form
    67,926,401/149,197,123 = 149,197,123/x
  3. Step 3: Cross multiply
    67,926,401x = 149,197,123 × 149,197,123
  4. Step 4: Simplify right side
    67,926,401x = 22,259,781,511,477,128
  5. Step 5: Solve for x
    x = 22,259,781,511,477,128/67,926,401
  6. Step 6: Final answer
    x = 327,704,415.13

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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.