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Finding the Third Proportional to 171,112,203 and 369,501,385.50

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Solution

The third proportional to 171,112,203 and 369,501,385.50 is: 797,904,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112,203 : 369,501,385.50 = 369,501,385.50 : x
  2. Step 2: Convert to fraction form
    171,112,203/369,501,385.50 = 369,501,385.50/x
  3. Step 3: Cross multiply
    171,112,203x = 369,501,385.50 × 369,501,385.50
  4. Step 4: Simplify right side
    171,112,203x = 136,531,273,886,419,616
  5. Step 5: Solve for x
    x = 136,531,273,886,419,616/171,112,203
  6. Step 6: Final answer
    x = 797,904,950.63

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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.