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Finding the Third Proportional to 90,550.13 and 197,928

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Solution

The third proportional to 90,550.13 and 197,928 is: 432,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,550.13 : 197,928 = 197,928 : x
  2. Step 2: Convert to fraction form
    90,550.13/197,928 = 197,928/x
  3. Step 3: Cross multiply
    90,550.13x = 197,928 × 197,928
  4. Step 4: Simplify right side
    90,550.13x = 39,175,493,184
  5. Step 5: Solve for x
    x = 39,175,493,184/90,550.13
  6. Step 6: Final answer
    x = 432,638.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.