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Finding the Third Proportional to 95,886 and 207,594

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Solution

The third proportional to 95,886 and 207,594 is: 449,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,886 : 207,594 = 207,594 : x
  2. Step 2: Convert to fraction form
    95,886/207,594 = 207,594/x
  3. Step 3: Cross multiply
    95,886x = 207,594 × 207,594
  4. Step 4: Simplify right side
    95,886x = 43,095,268,836
  5. Step 5: Solve for x
    x = 43,095,268,836/95,886
  6. Step 6: Final answer
    x = 449,442.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.