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Finding the Third Proportional to 93,521 and 199,257

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Solution

The third proportional to 93,521 and 199,257 is: 424,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,521 : 199,257 = 199,257 : x
  2. Step 2: Convert to fraction form
    93,521/199,257 = 199,257/x
  3. Step 3: Cross multiply
    93,521x = 199,257 × 199,257
  4. Step 4: Simplify right side
    93,521x = 39,703,352,049
  5. Step 5: Solve for x
    x = 39,703,352,049/93,521
  6. Step 6: Final answer
    x = 424,539.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.