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Finding the Third Proportional to 86,391 and 185,903

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Solution

The third proportional to 86,391 and 185,903 is: 400,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,391 : 185,903 = 185,903 : x
  2. Step 2: Convert to fraction form
    86,391/185,903 = 185,903/x
  3. Step 3: Cross multiply
    86,391x = 185,903 × 185,903
  4. Step 4: Simplify right side
    86,391x = 34,559,925,409
  5. Step 5: Solve for x
    x = 34,559,925,409/86,391
  6. Step 6: Final answer
    x = 400,040.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.