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Finding the Third Proportional to 203,368,514 and 444,764,582

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Solution

The third proportional to 203,368,514 and 444,764,582 is: 972,694,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,368,514 : 444,764,582 = 444,764,582 : x
  2. Step 2: Convert to fraction form
    203,368,514/444,764,582 = 444,764,582/x
  3. Step 3: Cross multiply
    203,368,514x = 444,764,582 × 444,764,582
  4. Step 4: Simplify right side
    203,368,514x = 197,815,533,401,634,720
  5. Step 5: Solve for x
    x = 197,815,533,401,634,720/203,368,514
  6. Step 6: Final answer
    x = 972,694,983.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.