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Finding the Third Proportional to 86,498 and 185,932

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Solution

The third proportional to 86,498 and 185,932 is: 399,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,498 : 185,932 = 185,932 : x
  2. Step 2: Convert to fraction form
    86,498/185,932 = 185,932/x
  3. Step 3: Cross multiply
    86,498x = 185,932 × 185,932
  4. Step 4: Simplify right side
    86,498x = 34,570,708,624
  5. Step 5: Solve for x
    x = 34,570,708,624/86,498
  6. Step 6: Final answer
    x = 399,670.61

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