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Finding the Third Proportional to 198,826,342 and 418,257,094

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Solution

The third proportional to 198,826,342 and 418,257,094 is: 879,858,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,826,342 : 418,257,094 = 418,257,094 : x
  2. Step 2: Convert to fraction form
    198,826,342/418,257,094 = 418,257,094/x
  3. Step 3: Cross multiply
    198,826,342x = 418,257,094 × 418,257,094
  4. Step 4: Simplify right side
    198,826,342x = 174,938,996,681,324,832
  5. Step 5: Solve for x
    x = 174,938,996,681,324,832/198,826,342
  6. Step 6: Final answer
    x = 879,858,246.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.