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Finding the Third Proportional to 103,632 and 221,481

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Solution

The third proportional to 103,632 and 221,481 is: 473,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632 : 221,481 = 221,481 : x
  2. Step 2: Convert to fraction form
    103,632/221,481 = 221,481/x
  3. Step 3: Cross multiply
    103,632x = 221,481 × 221,481
  4. Step 4: Simplify right side
    103,632x = 49,053,833,361
  5. Step 5: Solve for x
    x = 49,053,833,361/103,632
  6. Step 6: Final answer
    x = 473,346.39

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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.