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Finding the Third Proportional to 89,149.50 and 190,323

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Solution

The third proportional to 89,149.50 and 190,323 is: 406,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,149.50 : 190,323 = 190,323 : x
  2. Step 2: Convert to fraction form
    89,149.50/190,323 = 190,323/x
  3. Step 3: Cross multiply
    89,149.50x = 190,323 × 190,323
  4. Step 4: Simplify right side
    89,149.50x = 36,222,844,329
  5. Step 5: Solve for x
    x = 36,222,844,329/89,149.50
  6. Step 6: Final answer
    x = 406,315.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.