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Finding the Third Proportional to 69,391.33 and 151,323.74

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Solution

The third proportional to 69,391.33 and 151,323.74 is: 329,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,391.33 : 151,323.74 = 151,323.74 : x
  2. Step 2: Convert to fraction form
    69,391.33/151,323.74 = 151,323.74/x
  3. Step 3: Cross multiply
    69,391.33x = 151,323.74 × 151,323.74
  4. Step 4: Simplify right side
    69,391.33x = 22,898,874,654.08
  5. Step 5: Solve for x
    x = 22,898,874,654.08/69,391.33
  6. Step 6: Final answer
    x = 329,996.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.