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Finding the Third Proportional to 171,112,198.50 and 369,501,403.50

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Solution

The third proportional to 171,112,198.50 and 369,501,403.50 is: 797,905,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112,198.50 : 369,501,403.50 = 369,501,403.50 : x
  2. Step 2: Convert to fraction form
    171,112,198.50/369,501,403.50 = 369,501,403.50/x
  3. Step 3: Cross multiply
    171,112,198.50x = 369,501,403.50 × 369,501,403.50
  4. Step 4: Simplify right side
    171,112,198.50x = 136,531,287,188,469,808
  5. Step 5: Solve for x
    x = 136,531,287,188,469,808/171,112,198.50
  6. Step 6: Final answer
    x = 797,905,049.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.