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Finding the Third Proportional to 100,294.88 and 220,271.06

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Solution

The third proportional to 100,294.88 and 220,271.06 is: 483,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.88 : 220,271.06 = 220,271.06 : x
  2. Step 2: Convert to fraction form
    100,294.88/220,271.06 = 220,271.06/x
  3. Step 3: Cross multiply
    100,294.88x = 220,271.06 × 220,271.06
  4. Step 4: Simplify right side
    100,294.88x = 48,519,340,974.88
  5. Step 5: Solve for x
    x = 48,519,340,974.88/100,294.88
  6. Step 6: Final answer
    x = 483,766.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.