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Finding the Third Proportional to 143,939,196 and 313,435,512

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Solution

The third proportional to 143,939,196 and 313,435,512 is: 682,523,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,196 : 313,435,512 = 313,435,512 : x
  2. Step 2: Convert to fraction form
    143,939,196/313,435,512 = 313,435,512/x
  3. Step 3: Cross multiply
    143,939,196x = 313,435,512 × 313,435,512
  4. Step 4: Simplify right side
    143,939,196x = 98,241,820,182,702,144
  5. Step 5: Solve for x
    x = 98,241,820,182,702,144/143,939,196
  6. Step 6: Final answer
    x = 682,523,057.74

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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.