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Finding the Third Proportional to 93,838 and 202,004

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Solution

The third proportional to 93,838 and 202,004 is: 434,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,838 : 202,004 = 202,004 : x
  2. Step 2: Convert to fraction form
    93,838/202,004 = 202,004/x
  3. Step 3: Cross multiply
    93,838x = 202,004 × 202,004
  4. Step 4: Simplify right side
    93,838x = 40,805,616,016
  5. Step 5: Solve for x
    x = 40,805,616,016/93,838
  6. Step 6: Final answer
    x = 434,851.72

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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.