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Finding the Third Proportional to 86,684.63 and 187,583.63

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Solution

The third proportional to 86,684.63 and 187,583.63 is: 405,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684.63 : 187,583.63 = 187,583.63 : x
  2. Step 2: Convert to fraction form
    86,684.63/187,583.63 = 187,583.63/x
  3. Step 3: Cross multiply
    86,684.63x = 187,583.63 × 187,583.63
  4. Step 4: Simplify right side
    86,684.63x = 35,187,616,368.14
  5. Step 5: Solve for x
    x = 35,187,616,368.14/86,684.63
  6. Step 6: Final answer
    x = 405,926.85

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