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Finding the Third Proportional to 69,672.66 and 153,219.09

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Solution

The third proportional to 69,672.66 and 153,219.09 is: 336,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672.66 : 153,219.09 = 153,219.09 : x
  2. Step 2: Convert to fraction form
    69,672.66/153,219.09 = 153,219.09/x
  3. Step 3: Cross multiply
    69,672.66x = 153,219.09 × 153,219.09
  4. Step 4: Simplify right side
    69,672.66x = 23,476,090,689.57
  5. Step 5: Solve for x
    x = 23,476,090,689.57/69,672.66
  6. Step 6: Final answer
    x = 336,948.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.