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Finding the Third Proportional to 137,986.03 and 214,531.03

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Solution

The third proportional to 137,986.03 and 214,531.03 is: 333,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,986.03 : 214,531.03 = 214,531.03 : x
  2. Step 2: Convert to fraction form
    137,986.03/214,531.03 = 214,531.03/x
  3. Step 3: Cross multiply
    137,986.03x = 214,531.03 × 214,531.03
  4. Step 4: Simplify right side
    137,986.03x = 46,023,563,369.19
  5. Step 5: Solve for x
    x = 46,023,563,369.19/137,986.03
  6. Step 6: Final answer
    x = 333,537.84

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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.