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Finding the Third Proportional to 171,112,169.25 and 369,501,331.50

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Solution

The third proportional to 171,112,169.25 and 369,501,331.50 is: 797,904,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112,169.25 : 369,501,331.50 = 369,501,331.50 : x
  2. Step 2: Convert to fraction form
    171,112,169.25/369,501,331.50 = 369,501,331.50/x
  3. Step 3: Cross multiply
    171,112,169.25x = 369,501,331.50 × 369,501,331.50
  4. Step 4: Simplify right side
    171,112,169.25x = 136,531,233,980,272,896
  5. Step 5: Solve for x
    x = 136,531,233,980,272,896/171,112,169.25
  6. Step 6: Final answer
    x = 797,904,874.79

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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.