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Finding the Third Proportional to 86,284.13 and 201,524.06

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Solution

The third proportional to 86,284.13 and 201,524.06 is: 470,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284.13 : 201,524.06 = 201,524.06 : x
  2. Step 2: Convert to fraction form
    86,284.13/201,524.06 = 201,524.06/x
  3. Step 3: Cross multiply
    86,284.13x = 201,524.06 × 201,524.06
  4. Step 4: Simplify right side
    86,284.13x = 40,611,947,766.50
  5. Step 5: Solve for x
    x = 40,611,947,766.50/86,284.13
  6. Step 6: Final answer
    x = 470,676.94

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.