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Finding the Third Proportional to 93,728 and 205,888

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Solution

The third proportional to 93,728 and 205,888 is: 452,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,728 : 205,888 = 205,888 : x
  2. Step 2: Convert to fraction form
    93,728/205,888 = 205,888/x
  3. Step 3: Cross multiply
    93,728x = 205,888 × 205,888
  4. Step 4: Simplify right side
    93,728x = 42,389,868,544
  5. Step 5: Solve for x
    x = 42,389,868,544/93,728
  6. Step 6: Final answer
    x = 452,264.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.