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Finding the Third Proportional to 105,546.94 and 155,528.44

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Solution

The third proportional to 105,546.94 and 155,528.44 is: 229,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,546.94 : 155,528.44 = 155,528.44 : x
  2. Step 2: Convert to fraction form
    105,546.94/155,528.44 = 155,528.44/x
  3. Step 3: Cross multiply
    105,546.94x = 155,528.44 × 155,528.44
  4. Step 4: Simplify right side
    105,546.94x = 24,189,094,871.19
  5. Step 5: Solve for x
    x = 24,189,094,871.19/105,546.94
  6. Step 6: Final answer
    x = 229,178.56

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Why These Related Problems?

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