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Finding the Third Proportional to 84,311,334 and 195,168,584.25

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Solution

The third proportional to 84,311,334 and 195,168,584.25 is: 451,787,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311,334 : 195,168,584.25 = 195,168,584.25 : x
  2. Step 2: Convert to fraction form
    84,311,334/195,168,584.25 = 195,168,584.25/x
  3. Step 3: Cross multiply
    84,311,334x = 195,168,584.25 × 195,168,584.25
  4. Step 4: Simplify right side
    84,311,334x = 38,090,776,278,149,352
  5. Step 5: Solve for x
    x = 38,090,776,278,149,352/84,311,334
  6. Step 6: Final answer
    x = 451,787,137.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.