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Finding the Third Proportional to 204,836,690 and 299,478,401

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Solution

The third proportional to 204,836,690 and 299,478,401 is: 437,847,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836,690 : 299,478,401 = 299,478,401 : x
  2. Step 2: Convert to fraction form
    204,836,690/299,478,401 = 299,478,401/x
  3. Step 3: Cross multiply
    204,836,690x = 299,478,401 × 299,478,401
  4. Step 4: Simplify right side
    204,836,690x = 89,687,312,665,516,800
  5. Step 5: Solve for x
    x = 89,687,312,665,516,800/204,836,690
  6. Step 6: Final answer
    x = 437,847,890.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.