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Finding the Third Proportional to 103,447.13 and 153,231.75

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Solution

The third proportional to 103,447.13 and 153,231.75 is: 226,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447.13 : 153,231.75 = 153,231.75 : x
  2. Step 2: Convert to fraction form
    103,447.13/153,231.75 = 153,231.75/x
  3. Step 3: Cross multiply
    103,447.13x = 153,231.75 × 153,231.75
  4. Step 4: Simplify right side
    103,447.13x = 23,479,969,208.06
  5. Step 5: Solve for x
    x = 23,479,969,208.06/103,447.13
  6. Step 6: Final answer
    x = 226,975.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.