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Finding the Third Proportional to 143,939,199 and 313,435,518

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Solution

The third proportional to 143,939,199 and 313,435,518 is: 682,523,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,199 : 313,435,518 = 313,435,518 : x
  2. Step 2: Convert to fraction form
    143,939,199/313,435,518 = 313,435,518/x
  3. Step 3: Cross multiply
    143,939,199x = 313,435,518 × 313,435,518
  4. Step 4: Simplify right side
    143,939,199x = 98,241,823,943,928,320
  5. Step 5: Solve for x
    x = 98,241,823,943,928,320/143,939,199
  6. Step 6: Final answer
    x = 682,523,069.65

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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.