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Finding the Third Proportional to 88,719 and 193,827

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Solution

The third proportional to 88,719 and 193,827 is: 423,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,719 : 193,827 = 193,827 : x
  2. Step 2: Convert to fraction form
    88,719/193,827 = 193,827/x
  3. Step 3: Cross multiply
    88,719x = 193,827 × 193,827
  4. Step 4: Simplify right side
    88,719x = 37,568,905,929
  5. Step 5: Solve for x
    x = 37,568,905,929/88,719
  6. Step 6: Final answer
    x = 423,459.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.