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Finding the Third Proportional to 108,992.25 and 146,468.25

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Solution

The third proportional to 108,992.25 and 146,468.25 is: 196,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,992.25 : 146,468.25 = 146,468.25 : x
  2. Step 2: Convert to fraction form
    108,992.25/146,468.25 = 146,468.25/x
  3. Step 3: Cross multiply
    108,992.25x = 146,468.25 × 146,468.25
  4. Step 4: Simplify right side
    108,992.25x = 21,452,948,258.06
  5. Step 5: Solve for x
    x = 21,452,948,258.06/108,992.25
  6. Step 6: Final answer
    x = 196,830.03

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.