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Finding the Third Proportional to 121,839.19 and 188,294.63

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Solution

The third proportional to 121,839.19 and 188,294.63 is: 290,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,839.19 : 188,294.63 = 188,294.63 : x
  2. Step 2: Convert to fraction form
    121,839.19/188,294.63 = 188,294.63/x
  3. Step 3: Cross multiply
    121,839.19x = 188,294.63 × 188,294.63
  4. Step 4: Simplify right side
    121,839.19x = 35,454,865,803.89
  5. Step 5: Solve for x
    x = 35,454,865,803.89/121,839.19
  6. Step 6: Final answer
    x = 290,997.23

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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.