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Finding the Third Proportional to 198,893,072 and 433,914,250

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Solution

The third proportional to 198,893,072 and 433,914,250 is: 946,647,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,893,072 : 433,914,250 = 433,914,250 : x
  2. Step 2: Convert to fraction form
    198,893,072/433,914,250 = 433,914,250/x
  3. Step 3: Cross multiply
    198,893,072x = 433,914,250 × 433,914,250
  4. Step 4: Simplify right side
    198,893,072x = 188,281,576,353,062,496
  5. Step 5: Solve for x
    x = 188,281,576,353,062,496/198,893,072
  6. Step 6: Final answer
    x = 946,647,233.41

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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.