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Finding the Third Proportional to 201,083,240 and 437,997,136

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Solution

The third proportional to 201,083,240 and 437,997,136 is: 954,040,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083,240 : 437,997,136 = 437,997,136 : x
  2. Step 2: Convert to fraction form
    201,083,240/437,997,136 = 437,997,136/x
  3. Step 3: Cross multiply
    201,083,240x = 437,997,136 × 437,997,136
  4. Step 4: Simplify right side
    201,083,240x = 191,841,491,144,202,496
  5. Step 5: Solve for x
    x = 191,841,491,144,202,496/201,083,240
  6. Step 6: Final answer
    x = 954,040,183.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.