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Finding the Third Proportional to 95,806.50 and 201,534.75

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Solution

The third proportional to 95,806.50 and 201,534.75 is: 423,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,806.50 : 201,534.75 = 201,534.75 : x
  2. Step 2: Convert to fraction form
    95,806.50/201,534.75 = 201,534.75/x
  3. Step 3: Cross multiply
    95,806.50x = 201,534.75 × 201,534.75
  4. Step 4: Simplify right side
    95,806.50x = 40,616,255,457.56
  5. Step 5: Solve for x
    x = 40,616,255,457.56/95,806.50
  6. Step 6: Final answer
    x = 423,940.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.