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Finding the Third Proportional to 109,659.80 and 160,687.69

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Solution

The third proportional to 109,659.80 and 160,687.69 is: 235,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.80 : 160,687.69 = 160,687.69 : x
  2. Step 2: Convert to fraction form
    109,659.80/160,687.69 = 160,687.69/x
  3. Step 3: Cross multiply
    109,659.80x = 160,687.69 × 160,687.69
  4. Step 4: Simplify right side
    109,659.80x = 25,820,532,914.10
  5. Step 5: Solve for x
    x = 25,820,532,914.10/109,659.80
  6. Step 6: Final answer
    x = 235,460.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.