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Finding the Third Proportional to 94,532.44 and 146,446.31

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Solution

The third proportional to 94,532.44 and 146,446.31 is: 226,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532.44 : 146,446.31 = 146,446.31 : x
  2. Step 2: Convert to fraction form
    94,532.44/146,446.31 = 146,446.31/x
  3. Step 3: Cross multiply
    94,532.44x = 146,446.31 × 146,446.31
  4. Step 4: Simplify right side
    94,532.44x = 21,446,522,444.85
  5. Step 5: Solve for x
    x = 21,446,522,444.85/94,532.44
  6. Step 6: Final answer
    x = 226,869.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.