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Finding the Third Proportional to 86,261.55 and 188,515.48

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Solution

The third proportional to 86,261.55 and 188,515.48 is: 411,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,261.55 : 188,515.48 = 188,515.48 : x
  2. Step 2: Convert to fraction form
    86,261.55/188,515.48 = 188,515.48/x
  3. Step 3: Cross multiply
    86,261.55x = 188,515.48 × 188,515.48
  4. Step 4: Simplify right side
    86,261.55x = 35,538,084,903.59
  5. Step 5: Solve for x
    x = 35,538,084,903.59/86,261.55
  6. Step 6: Final answer
    x = 411,980.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.