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Finding the Third Proportional to 143,939,216 and 313,435,552

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Solution

The third proportional to 143,939,216 and 313,435,552 is: 682,523,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,216 : 313,435,552 = 313,435,552 : x
  2. Step 2: Convert to fraction form
    143,939,216/313,435,552 = 313,435,552/x
  3. Step 3: Cross multiply
    143,939,216x = 313,435,552 × 313,435,552
  4. Step 4: Simplify right side
    143,939,216x = 98,241,845,257,544,704
  5. Step 5: Solve for x
    x = 98,241,845,257,544,704/143,939,216
  6. Step 6: Final answer
    x = 682,523,137.11

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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.