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Finding the Third Proportional to 258,412,996.50 and 397,198,963.50

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Solution

The third proportional to 258,412,996.50 and 397,198,963.50 is: 610,522,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,412,996.50 : 397,198,963.50 = 397,198,963.50 : x
  2. Step 2: Convert to fraction form
    258,412,996.50/397,198,963.50 = 397,198,963.50/x
  3. Step 3: Cross multiply
    258,412,996.50x = 397,198,963.50 × 397,198,963.50
  4. Step 4: Simplify right side
    258,412,996.50x = 157,767,016,605,474,336
  5. Step 5: Solve for x
    x = 157,767,016,605,474,336/258,412,996.50
  6. Step 6: Final answer
    x = 610,522,762.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.