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Finding the Third Proportional to 95,847.75 and 210,966.75

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Solution

The third proportional to 95,847.75 and 210,966.75 is: 464,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,847.75 : 210,966.75 = 210,966.75 : x
  2. Step 2: Convert to fraction form
    95,847.75/210,966.75 = 210,966.75/x
  3. Step 3: Cross multiply
    95,847.75x = 210,966.75 × 210,966.75
  4. Step 4: Simplify right side
    95,847.75x = 44,506,969,605.56
  5. Step 5: Solve for x
    x = 44,506,969,605.56/95,847.75
  6. Step 6: Final answer
    x = 464,350.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.