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Finding the Third Proportional to 86,609.25 and 189,752.63

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Solution

The third proportional to 86,609.25 and 189,752.63 is: 415,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,609.25 : 189,752.63 = 189,752.63 : x
  2. Step 2: Convert to fraction form
    86,609.25/189,752.63 = 189,752.63/x
  3. Step 3: Cross multiply
    86,609.25x = 189,752.63 × 189,752.63
  4. Step 4: Simplify right side
    86,609.25x = 36,006,058,694.39
  5. Step 5: Solve for x
    x = 36,006,058,694.39/86,609.25
  6. Step 6: Final answer
    x = 415,729.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.