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Finding the Third Proportional to 89,698 and 211,442

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Solution

The third proportional to 89,698 and 211,442 is: 498,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,698 : 211,442 = 211,442 : x
  2. Step 2: Convert to fraction form
    89,698/211,442 = 211,442/x
  3. Step 3: Cross multiply
    89,698x = 211,442 × 211,442
  4. Step 4: Simplify right side
    89,698x = 44,707,719,364
  5. Step 5: Solve for x
    x = 44,707,719,364/89,698
  6. Step 6: Final answer
    x = 498,424.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.