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Finding the Third Proportional to 95,874 and 209,050.50

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Solution

The third proportional to 95,874 and 209,050.50 is: 455,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,874 : 209,050.50 = 209,050.50 : x
  2. Step 2: Convert to fraction form
    95,874/209,050.50 = 209,050.50/x
  3. Step 3: Cross multiply
    95,874x = 209,050.50 × 209,050.50
  4. Step 4: Simplify right side
    95,874x = 43,702,111,550.25
  5. Step 5: Solve for x
    x = 43,702,111,550.25/95,874
  6. Step 6: Final answer
    x = 455,828.60

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