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Finding the Third Proportional to 105,850.13 and 154,887.19

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Solution

The third proportional to 105,850.13 and 154,887.19 is: 226,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,850.13 : 154,887.19 = 154,887.19 : x
  2. Step 2: Convert to fraction form
    105,850.13/154,887.19 = 154,887.19/x
  3. Step 3: Cross multiply
    105,850.13x = 154,887.19 × 154,887.19
  4. Step 4: Simplify right side
    105,850.13x = 23,990,040,851.66
  5. Step 5: Solve for x
    x = 23,990,040,851.66/105,850.13
  6. Step 6: Final answer
    x = 226,641.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.