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Finding the Third Proportional to 95,210.44 and 206,823.38

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Solution

The third proportional to 95,210.44 and 206,823.38 is: 449,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,210.44 : 206,823.38 = 206,823.38 : x
  2. Step 2: Convert to fraction form
    95,210.44/206,823.38 = 206,823.38/x
  3. Step 3: Cross multiply
    95,210.44x = 206,823.38 × 206,823.38
  4. Step 4: Simplify right side
    95,210.44x = 42,775,908,446.39
  5. Step 5: Solve for x
    x = 42,775,908,446.39/95,210.44
  6. Step 6: Final answer
    x = 449,277.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.