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Finding the Third Proportional to 204,836,670 and 299,478,372.75

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Solution

The third proportional to 204,836,670 and 299,478,372.75 is: 437,847,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836,670 : 299,478,372.75 = 299,478,372.75 : x
  2. Step 2: Convert to fraction form
    204,836,670/299,478,372.75 = 299,478,372.75/x
  3. Step 3: Cross multiply
    204,836,670x = 299,478,372.75 × 299,478,372.75
  4. Step 4: Simplify right side
    204,836,670x = 89,687,295,744,987,936
  5. Step 5: Solve for x
    x = 89,687,295,744,987,936/204,836,670
  6. Step 6: Final answer
    x = 437,847,850.90

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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.