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Finding the Third Proportional to 199,440,324 and 298,061,261

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Solution

The third proportional to 199,440,324 and 298,061,261 is: 445,449,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,440,324 : 298,061,261 = 298,061,261 : x
  2. Step 2: Convert to fraction form
    199,440,324/298,061,261 = 298,061,261/x
  3. Step 3: Cross multiply
    199,440,324x = 298,061,261 × 298,061,261
  4. Step 4: Simplify right side
    199,440,324x = 88,840,515,308,910,128
  5. Step 5: Solve for x
    x = 88,840,515,308,910,128/199,440,324
  6. Step 6: Final answer
    x = 445,449,112.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.