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Finding the Third Proportional to 94,246 and 205,138

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Solution

The third proportional to 94,246 and 205,138 is: 446,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,246 : 205,138 = 205,138 : x
  2. Step 2: Convert to fraction form
    94,246/205,138 = 205,138/x
  3. Step 3: Cross multiply
    94,246x = 205,138 × 205,138
  4. Step 4: Simplify right side
    94,246x = 42,081,599,044
  5. Step 5: Solve for x
    x = 42,081,599,044/94,246
  6. Step 6: Final answer
    x = 446,508.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.