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Finding the Third Proportional to 88,836 and 189,882

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Solution

The third proportional to 88,836 and 189,882 is: 405,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,836 : 189,882 = 189,882 : x
  2. Step 2: Convert to fraction form
    88,836/189,882 = 189,882/x
  3. Step 3: Cross multiply
    88,836x = 189,882 × 189,882
  4. Step 4: Simplify right side
    88,836x = 36,055,173,924
  5. Step 5: Solve for x
    x = 36,055,173,924/88,836
  6. Step 6: Final answer
    x = 405,862.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.