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Finding the Third Proportional to 96,716 and 205,044

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Solution

The third proportional to 96,716 and 205,044 is: 434,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,716 : 205,044 = 205,044 : x
  2. Step 2: Convert to fraction form
    96,716/205,044 = 205,044/x
  3. Step 3: Cross multiply
    96,716x = 205,044 × 205,044
  4. Step 4: Simplify right side
    96,716x = 42,043,041,936
  5. Step 5: Solve for x
    x = 42,043,041,936/96,716
  6. Step 6: Final answer
    x = 434,706.17

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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.