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Finding the Third Proportional to 91,252,821 and 202,907,868

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Solution

The third proportional to 91,252,821 and 202,907,868 is: 451,181,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,252,821 : 202,907,868 = 202,907,868 : x
  2. Step 2: Convert to fraction form
    91,252,821/202,907,868 = 202,907,868/x
  3. Step 3: Cross multiply
    91,252,821x = 202,907,868 × 202,907,868
  4. Step 4: Simplify right side
    91,252,821x = 41,171,602,896,305,424
  5. Step 5: Solve for x
    x = 41,171,602,896,305,424/91,252,821
  6. Step 6: Final answer
    x = 451,181,699.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.