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Finding the Third Proportional to 88,058 and 189,806

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Solution

The third proportional to 88,058 and 189,806 is: 409,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,058 : 189,806 = 189,806 : x
  2. Step 2: Convert to fraction form
    88,058/189,806 = 189,806/x
  3. Step 3: Cross multiply
    88,058x = 189,806 × 189,806
  4. Step 4: Simplify right side
    88,058x = 36,026,317,636
  5. Step 5: Solve for x
    x = 36,026,317,636/88,058
  6. Step 6: Final answer
    x = 409,120.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.