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Finding the Third Proportional to 95,196.75 and 209,078.25

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Solution

The third proportional to 95,196.75 and 209,078.25 is: 459,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,196.75 : 209,078.25 = 209,078.25 : x
  2. Step 2: Convert to fraction form
    95,196.75/209,078.25 = 209,078.25/x
  3. Step 3: Cross multiply
    95,196.75x = 209,078.25 × 209,078.25
  4. Step 4: Simplify right side
    95,196.75x = 43,713,714,623.06
  5. Step 5: Solve for x
    x = 43,713,714,623.06/95,196.75
  6. Step 6: Final answer
    x = 459,193.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.