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Finding the Third Proportional to 95,257.50 and 206,931.50

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Solution

The third proportional to 95,257.50 and 206,931.50 is: 449,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257.50 : 206,931.50 = 206,931.50 : x
  2. Step 2: Convert to fraction form
    95,257.50/206,931.50 = 206,931.50/x
  3. Step 3: Cross multiply
    95,257.50x = 206,931.50 × 206,931.50
  4. Step 4: Simplify right side
    95,257.50x = 42,820,645,692.25
  5. Step 5: Solve for x
    x = 42,820,645,692.25/95,257.50
  6. Step 6: Final answer
    x = 449,525.19

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