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Finding the Third Proportional to 103,933.13 and 155,211.19

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Solution

The third proportional to 103,933.13 and 155,211.19 is: 231,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,933.13 : 155,211.19 = 155,211.19 : x
  2. Step 2: Convert to fraction form
    103,933.13/155,211.19 = 155,211.19/x
  3. Step 3: Cross multiply
    103,933.13x = 155,211.19 × 155,211.19
  4. Step 4: Simplify right side
    103,933.13x = 24,090,512,725.16
  5. Step 5: Solve for x
    x = 24,090,512,725.16/103,933.13
  6. Step 6: Final answer
    x = 231,788.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.