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Finding the Third Proportional to 101,196 and 220,614

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Solution

The third proportional to 101,196 and 220,614 is: 480,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,196 : 220,614 = 220,614 : x
  2. Step 2: Convert to fraction form
    101,196/220,614 = 220,614/x
  3. Step 3: Cross multiply
    101,196x = 220,614 × 220,614
  4. Step 4: Simplify right side
    101,196x = 48,670,536,996
  5. Step 5: Solve for x
    x = 48,670,536,996/101,196
  6. Step 6: Final answer
    x = 480,953.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.