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Finding the Third Proportional to 143,939,408 and 313,435,936

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Solution

The third proportional to 143,939,408 and 313,435,936 is: 682,523,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,408 : 313,435,936 = 313,435,936 : x
  2. Step 2: Convert to fraction form
    143,939,408/313,435,936 = 313,435,936/x
  3. Step 3: Cross multiply
    143,939,408x = 313,435,936 × 313,435,936
  4. Step 4: Simplify right side
    143,939,408x = 98,242,085,976,196,096
  5. Step 5: Solve for x
    x = 98,242,085,976,196,096/143,939,408
  6. Step 6: Final answer
    x = 682,523,899.06

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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.