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Finding the Third Proportional to 201,382,939.13 and 300,834,163.27

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Solution

The third proportional to 201,382,939.13 and 300,834,163.27 is: 449,398,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382,939.13 : 300,834,163.27 = 300,834,163.27 : x
  2. Step 2: Convert to fraction form
    201,382,939.13/300,834,163.27 = 300,834,163.27/x
  3. Step 3: Cross multiply
    201,382,939.13x = 300,834,163.27 × 300,834,163.27
  4. Step 4: Simplify right side
    201,382,939.13x = 90,501,193,787,725,712
  5. Step 5: Solve for x
    x = 90,501,193,787,725,712/201,382,939.13
  6. Step 6: Final answer
    x = 449,398,514.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.