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Finding the Third Proportional to 95,870 and 206,457

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Solution

The third proportional to 95,870 and 206,457 is: 444,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,870 : 206,457 = 206,457 : x
  2. Step 2: Convert to fraction form
    95,870/206,457 = 206,457/x
  3. Step 3: Cross multiply
    95,870x = 206,457 × 206,457
  4. Step 4: Simplify right side
    95,870x = 42,624,492,849
  5. Step 5: Solve for x
    x = 42,624,492,849/95,870
  6. Step 6: Final answer
    x = 444,607.21

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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.