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Finding the Third Proportional to 40,186.13 and 88,148.25

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Solution

The third proportional to 40,186.13 and 88,148.25 is: 193,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186.13 : 88,148.25 = 88,148.25 : x
  2. Step 2: Convert to fraction form
    40,186.13/88,148.25 = 88,148.25/x
  3. Step 3: Cross multiply
    40,186.13x = 88,148.25 × 88,148.25
  4. Step 4: Simplify right side
    40,186.13x = 7,770,113,978.06
  5. Step 5: Solve for x
    x = 7,770,113,978.06/40,186.13
  6. Step 6: Final answer
    x = 193,353.15

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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.