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Finding the Third Proportional to 97,112 and 216,823

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Solution

The third proportional to 97,112 and 216,823 is: 484,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,112 : 216,823 = 216,823 : x
  2. Step 2: Convert to fraction form
    97,112/216,823 = 216,823/x
  3. Step 3: Cross multiply
    97,112x = 216,823 × 216,823
  4. Step 4: Simplify right side
    97,112x = 47,012,213,329
  5. Step 5: Solve for x
    x = 47,012,213,329/97,112
  6. Step 6: Final answer
    x = 484,103.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.