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Finding the Third Proportional to 108,981 and 146,164.50

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Solution

The third proportional to 108,981 and 146,164.50 is: 196,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,981 : 146,164.50 = 146,164.50 : x
  2. Step 2: Convert to fraction form
    108,981/146,164.50 = 146,164.50/x
  3. Step 3: Cross multiply
    108,981x = 146,164.50 × 146,164.50
  4. Step 4: Simplify right side
    108,981x = 21,364,061,060.25
  5. Step 5: Solve for x
    x = 21,364,061,060.25/108,981
  6. Step 6: Final answer
    x = 196,034.73

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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.