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Finding the Third Proportional to 96,628 and 206,095

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Solution

The third proportional to 96,628 and 206,095 is: 439,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,628 : 206,095 = 206,095 : x
  2. Step 2: Convert to fraction form
    96,628/206,095 = 206,095/x
  3. Step 3: Cross multiply
    96,628x = 206,095 × 206,095
  4. Step 4: Simplify right side
    96,628x = 42,475,149,025
  5. Step 5: Solve for x
    x = 42,475,149,025/96,628
  6. Step 6: Final answer
    x = 439,573.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.