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Finding the Third Proportional to 95,506.50 and 210,084

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Solution

The third proportional to 95,506.50 and 210,084 is: 462,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,506.50 : 210,084 = 210,084 : x
  2. Step 2: Convert to fraction form
    95,506.50/210,084 = 210,084/x
  3. Step 3: Cross multiply
    95,506.50x = 210,084 × 210,084
  4. Step 4: Simplify right side
    95,506.50x = 44,135,287,056
  5. Step 5: Solve for x
    x = 44,135,287,056/95,506.50
  6. Step 6: Final answer
    x = 462,118.15

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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.