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Finding the Third Proportional to 89,696 and 211,437

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Solution

The third proportional to 89,696 and 211,437 is: 498,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,696 : 211,437 = 211,437 : x
  2. Step 2: Convert to fraction form
    89,696/211,437 = 211,437/x
  3. Step 3: Cross multiply
    89,696x = 211,437 × 211,437
  4. Step 4: Simplify right side
    89,696x = 44,705,604,969
  5. Step 5: Solve for x
    x = 44,705,604,969/89,696
  6. Step 6: Final answer
    x = 498,412.47

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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.