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Finding the Third Proportional to 102,959.44 and 188,832.94

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Solution

The third proportional to 102,959.44 and 188,832.94 is: 346,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.44 : 188,832.94 = 188,832.94 : x
  2. Step 2: Convert to fraction form
    102,959.44/188,832.94 = 188,832.94/x
  3. Step 3: Cross multiply
    102,959.44x = 188,832.94 × 188,832.94
  4. Step 4: Simplify right side
    102,959.44x = 35,657,878,284.88
  5. Step 5: Solve for x
    x = 35,657,878,284.88/102,959.44
  6. Step 6: Final answer
    x = 346,329.38

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.