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Finding the Third Proportional to 93,361 and 204,862

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Solution

The third proportional to 93,361 and 204,862 is: 449,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,361 : 204,862 = 204,862 : x
  2. Step 2: Convert to fraction form
    93,361/204,862 = 204,862/x
  3. Step 3: Cross multiply
    93,361x = 204,862 × 204,862
  4. Step 4: Simplify right side
    93,361x = 41,968,439,044
  5. Step 5: Solve for x
    x = 41,968,439,044/93,361
  6. Step 6: Final answer
    x = 449,528.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.