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Finding the Third Proportional to 93,934 and 221,514

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Solution

The third proportional to 93,934 and 221,514 is: 522,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,934 : 221,514 = 221,514 : x
  2. Step 2: Convert to fraction form
    93,934/221,514 = 221,514/x
  3. Step 3: Cross multiply
    93,934x = 221,514 × 221,514
  4. Step 4: Simplify right side
    93,934x = 49,068,452,196
  5. Step 5: Solve for x
    x = 49,068,452,196/93,934
  6. Step 6: Final answer
    x = 522,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.