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Finding the Third Proportional to 121,214.81 and 191,843.44

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Solution

The third proportional to 121,214.81 and 191,843.44 is: 303,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,214.81 : 191,843.44 = 191,843.44 : x
  2. Step 2: Convert to fraction form
    121,214.81/191,843.44 = 191,843.44/x
  3. Step 3: Cross multiply
    121,214.81x = 191,843.44 × 191,843.44
  4. Step 4: Simplify right side
    121,214.81x = 36,803,904,511.82
  5. Step 5: Solve for x
    x = 36,803,904,511.82/121,214.81
  6. Step 6: Final answer
    x = 303,625.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.