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Finding the Third Proportional to 95,856.75 and 206,527.50

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Solution

The third proportional to 95,856.75 and 206,527.50 is: 444,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,856.75 : 206,527.50 = 206,527.50 : x
  2. Step 2: Convert to fraction form
    95,856.75/206,527.50 = 206,527.50/x
  3. Step 3: Cross multiply
    95,856.75x = 206,527.50 × 206,527.50
  4. Step 4: Simplify right side
    95,856.75x = 42,653,608,256.25
  5. Step 5: Solve for x
    x = 42,653,608,256.25/95,856.75
  6. Step 6: Final answer
    x = 444,972.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.