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Finding the Third Proportional to 101,584.13 and 220,117.50

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Solution

The third proportional to 101,584.13 and 220,117.50 is: 476,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.13 : 220,117.50 = 220,117.50 : x
  2. Step 2: Convert to fraction form
    101,584.13/220,117.50 = 220,117.50/x
  3. Step 3: Cross multiply
    101,584.13x = 220,117.50 × 220,117.50
  4. Step 4: Simplify right side
    101,584.13x = 48,451,713,806.25
  5. Step 5: Solve for x
    x = 48,451,713,806.25/101,584.13
  6. Step 6: Final answer
    x = 476,961.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.