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Finding the Third Proportional to 89,821.41 and 195,589.64

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Solution

The third proportional to 89,821.41 and 195,589.64 is: 425,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,821.41 : 195,589.64 = 195,589.64 : x
  2. Step 2: Convert to fraction form
    89,821.41/195,589.64 = 195,589.64/x
  3. Step 3: Cross multiply
    89,821.41x = 195,589.64 × 195,589.64
  4. Step 4: Simplify right side
    89,821.41x = 38,255,307,519.82
  5. Step 5: Solve for x
    x = 38,255,307,519.82/89,821.41
  6. Step 6: Final answer
    x = 425,904.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.