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Finding the Third Proportional to 203,028,495.75 and 300,855,724.88

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Solution

The third proportional to 203,028,495.75 and 300,855,724.88 is: 445,820,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,028,495.75 : 300,855,724.88 = 300,855,724.88 : x
  2. Step 2: Convert to fraction form
    203,028,495.75/300,855,724.88 = 300,855,724.88/x
  3. Step 3: Cross multiply
    203,028,495.75x = 300,855,724.88 × 300,855,724.88
  4. Step 4: Simplify right side
    203,028,495.75x = 90,514,167,190,061,696
  5. Step 5: Solve for x
    x = 90,514,167,190,061,696/203,028,495.75
  6. Step 6: Final answer
    x = 445,820,015.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.