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Finding the Third Proportional to 103,662 and 221,538

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Solution

The third proportional to 103,662 and 221,538 is: 473,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662 : 221,538 = 221,538 : x
  2. Step 2: Convert to fraction form
    103,662/221,538 = 221,538/x
  3. Step 3: Cross multiply
    103,662x = 221,538 × 221,538
  4. Step 4: Simplify right side
    103,662x = 49,079,085,444
  5. Step 5: Solve for x
    x = 49,079,085,444/103,662
  6. Step 6: Final answer
    x = 473,453.01

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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.