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Finding the Third Proportional to 96,506.44 and 146,400.19

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Solution

The third proportional to 96,506.44 and 146,400.19 is: 222,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506.44 : 146,400.19 = 146,400.19 : x
  2. Step 2: Convert to fraction form
    96,506.44/146,400.19 = 146,400.19/x
  3. Step 3: Cross multiply
    96,506.44x = 146,400.19 × 146,400.19
  4. Step 4: Simplify right side
    96,506.44x = 21,433,014,900.04
  5. Step 5: Solve for x
    x = 21,433,014,900.04/96,506.44
  6. Step 6: Final answer
    x = 222,088.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.