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Finding the Third Proportional to 96,781 and 202,429

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Solution

The third proportional to 96,781 and 202,429 is: 423,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,781 : 202,429 = 202,429 : x
  2. Step 2: Convert to fraction form
    96,781/202,429 = 202,429/x
  3. Step 3: Cross multiply
    96,781x = 202,429 × 202,429
  4. Step 4: Simplify right side
    96,781x = 40,977,500,041
  5. Step 5: Solve for x
    x = 40,977,500,041/96,781
  6. Step 6: Final answer
    x = 423,404.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.