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Finding the Third Proportional to 95,036 and 205,138

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Solution

The third proportional to 95,036 and 205,138 is: 442,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,036 : 205,138 = 205,138 : x
  2. Step 2: Convert to fraction form
    95,036/205,138 = 205,138/x
  3. Step 3: Cross multiply
    95,036x = 205,138 × 205,138
  4. Step 4: Simplify right side
    95,036x = 42,081,599,044
  5. Step 5: Solve for x
    x = 42,081,599,044/95,036
  6. Step 6: Final answer
    x = 442,796.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.