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Finding the Third Proportional to 95,834.50 and 209,073.75

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Solution

The third proportional to 95,834.50 and 209,073.75 is: 456,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,834.50 : 209,073.75 = 209,073.75 : x
  2. Step 2: Convert to fraction form
    95,834.50/209,073.75 = 209,073.75/x
  3. Step 3: Cross multiply
    95,834.50x = 209,073.75 × 209,073.75
  4. Step 4: Simplify right side
    95,834.50x = 43,711,832,939.06
  5. Step 5: Solve for x
    x = 43,711,832,939.06/95,834.50
  6. Step 6: Final answer
    x = 456,117.92

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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.