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Finding the Third Proportional to 301,247,162 and 465,503,682

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Solution

The third proportional to 301,247,162 and 465,503,682 is: 719,321,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,247,162 : 465,503,682 = 465,503,682 : x
  2. Step 2: Convert to fraction form
    301,247,162/465,503,682 = 465,503,682/x
  3. Step 3: Cross multiply
    301,247,162x = 465,503,682 × 465,503,682
  4. Step 4: Simplify right side
    301,247,162x = 216,693,677,955,557,120
  5. Step 5: Solve for x
    x = 216,693,677,955,557,120/301,247,162
  6. Step 6: Final answer
    x = 719,321,890.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.