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Finding the Third Proportional to 101,273 and 221,611

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Solution

The third proportional to 101,273 and 221,611 is: 484,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,273 : 221,611 = 221,611 : x
  2. Step 2: Convert to fraction form
    101,273/221,611 = 221,611/x
  3. Step 3: Cross multiply
    101,273x = 221,611 × 221,611
  4. Step 4: Simplify right side
    101,273x = 49,111,435,321
  5. Step 5: Solve for x
    x = 49,111,435,321/101,273
  6. Step 6: Final answer
    x = 484,941.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.