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Finding the Third Proportional to 103,664 and 221,542

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Solution

The third proportional to 103,664 and 221,542 is: 473,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 221,542 = 221,542 : x
  2. Step 2: Convert to fraction form
    103,664/221,542 = 221,542/x
  3. Step 3: Cross multiply
    103,664x = 221,542 × 221,542
  4. Step 4: Simplify right side
    103,664x = 49,080,857,764
  5. Step 5: Solve for x
    x = 49,080,857,764/103,664
  6. Step 6: Final answer
    x = 473,460.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.