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Finding the Third Proportional to 95,537 and 206,639

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Solution

The third proportional to 95,537 and 206,639 is: 446,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,537 : 206,639 = 206,639 : x
  2. Step 2: Convert to fraction form
    95,537/206,639 = 206,639/x
  3. Step 3: Cross multiply
    95,537x = 206,639 × 206,639
  4. Step 4: Simplify right side
    95,537x = 42,699,676,321
  5. Step 5: Solve for x
    x = 42,699,676,321/95,537
  6. Step 6: Final answer
    x = 446,943.87

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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.