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Finding the Third Proportional to 95,201 and 206,790.50

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Solution

The third proportional to 95,201 and 206,790.50 is: 449,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,201 : 206,790.50 = 206,790.50 : x
  2. Step 2: Convert to fraction form
    95,201/206,790.50 = 206,790.50/x
  3. Step 3: Cross multiply
    95,201x = 206,790.50 × 206,790.50
  4. Step 4: Simplify right side
    95,201x = 42,762,310,890.25
  5. Step 5: Solve for x
    x = 42,762,310,890.25/95,201
  6. Step 6: Final answer
    x = 449,179.22

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Why These Related Problems?

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