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Finding the Third Proportional to 96,728 and 207,730

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Solution

The third proportional to 96,728 and 207,730 is: 446,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,728 : 207,730 = 207,730 : x
  2. Step 2: Convert to fraction form
    96,728/207,730 = 207,730/x
  3. Step 3: Cross multiply
    96,728x = 207,730 × 207,730
  4. Step 4: Simplify right side
    96,728x = 43,151,752,900
  5. Step 5: Solve for x
    x = 43,151,752,900/96,728
  6. Step 6: Final answer
    x = 446,114.39

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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.