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Finding the Third Proportional to 96,139 and 204,788

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Solution

The third proportional to 96,139 and 204,788 is: 436,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139 : 204,788 = 204,788 : x
  2. Step 2: Convert to fraction form
    96,139/204,788 = 204,788/x
  3. Step 3: Cross multiply
    96,139x = 204,788 × 204,788
  4. Step 4: Simplify right side
    96,139x = 41,938,124,944
  5. Step 5: Solve for x
    x = 41,938,124,944/96,139
  6. Step 6: Final answer
    x = 436,223.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.