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Finding the Third Proportional to 95,465 and 206,640

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Solution

The third proportional to 95,465 and 206,640 is: 447,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,465 : 206,640 = 206,640 : x
  2. Step 2: Convert to fraction form
    95,465/206,640 = 206,640/x
  3. Step 3: Cross multiply
    95,465x = 206,640 × 206,640
  4. Step 4: Simplify right side
    95,465x = 42,700,089,600
  5. Step 5: Solve for x
    x = 42,700,089,600/95,465
  6. Step 6: Final answer
    x = 447,285.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.