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Finding the Third Proportional to 183,829,826 and 398,295,868

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Solution

The third proportional to 183,829,826 and 398,295,868 is: 862,969,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,829,826 : 398,295,868 = 398,295,868 : x
  2. Step 2: Convert to fraction form
    183,829,826/398,295,868 = 398,295,868/x
  3. Step 3: Cross multiply
    183,829,826x = 398,295,868 × 398,295,868
  4. Step 4: Simplify right side
    183,829,826x = 158,639,598,465,873,408
  5. Step 5: Solve for x
    x = 158,639,598,465,873,408/183,829,826
  6. Step 6: Final answer
    x = 862,969,855.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.