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Finding the Third Proportional to 86,175.56 and 186,185.25

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Solution

The third proportional to 86,175.56 and 186,185.25 is: 402,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,175.56 : 186,185.25 = 186,185.25 : x
  2. Step 2: Convert to fraction form
    86,175.56/186,185.25 = 186,185.25/x
  3. Step 3: Cross multiply
    86,175.56x = 186,185.25 × 186,185.25
  4. Step 4: Simplify right side
    86,175.56x = 34,664,947,317.56
  5. Step 5: Solve for x
    x = 34,664,947,317.56/86,175.56
  6. Step 6: Final answer
    x = 402,259.60

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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.