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Finding the Third Proportional to 89,706 and 211,462.25

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Solution

The third proportional to 89,706 and 211,462.25 is: 498,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706 : 211,462.25 = 211,462.25 : x
  2. Step 2: Convert to fraction form
    89,706/211,462.25 = 211,462.25/x
  3. Step 3: Cross multiply
    89,706x = 211,462.25 × 211,462.25
  4. Step 4: Simplify right side
    89,706x = 44,716,283,175.06
  5. Step 5: Solve for x
    x = 44,716,283,175.06/89,706
  6. Step 6: Final answer
    x = 498,475.95

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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.