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Finding the Third Proportional to 167,876,853.75 and 395,726,968.13

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Solution

The third proportional to 167,876,853.75 and 395,726,968.13 is: 932,825,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,876,853.75 : 395,726,968.13 = 395,726,968.13 : x
  2. Step 2: Convert to fraction form
    167,876,853.75/395,726,968.13 = 395,726,968.13/x
  3. Step 3: Cross multiply
    167,876,853.75x = 395,726,968.13 × 395,726,968.13
  4. Step 4: Simplify right side
    167,876,853.75x = 156,599,833,301,404,768
  5. Step 5: Solve for x
    x = 156,599,833,301,404,768/167,876,853.75
  6. Step 6: Final answer
    x = 932,825,638.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.