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Finding the Third Proportional to 108,904.75 and 235,906.25

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Solution

The third proportional to 108,904.75 and 235,906.25 is: 511,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,904.75 : 235,906.25 = 235,906.25 : x
  2. Step 2: Convert to fraction form
    108,904.75/235,906.25 = 235,906.25/x
  3. Step 3: Cross multiply
    108,904.75x = 235,906.25 × 235,906.25
  4. Step 4: Simplify right side
    108,904.75x = 55,651,758,789.06
  5. Step 5: Solve for x
    x = 55,651,758,789.06/108,904.75
  6. Step 6: Final answer
    x = 511,013.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.