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Finding the Third Proportional to 45,490 and 97,823

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Solution

The third proportional to 45,490 and 97,823 is: 210,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,490 : 97,823 = 97,823 : x
  2. Step 2: Convert to fraction form
    45,490/97,823 = 97,823/x
  3. Step 3: Cross multiply
    45,490x = 97,823 × 97,823
  4. Step 4: Simplify right side
    45,490x = 9,569,339,329
  5. Step 5: Solve for x
    x = 9,569,339,329/45,490
  6. Step 6: Final answer
    x = 210,361.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.