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Finding the Third Proportional to 96,708 and 205,028

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Solution

The third proportional to 96,708 and 205,028 is: 434,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,708 : 205,028 = 205,028 : x
  2. Step 2: Convert to fraction form
    96,708/205,028 = 205,028/x
  3. Step 3: Cross multiply
    96,708x = 205,028 × 205,028
  4. Step 4: Simplify right side
    96,708x = 42,036,480,784
  5. Step 5: Solve for x
    x = 42,036,480,784/96,708
  6. Step 6: Final answer
    x = 434,674.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.