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Finding the Third Proportional to 101,568 and 220,084.50

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Solution

The third proportional to 101,568 and 220,084.50 is: 476,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,568 : 220,084.50 = 220,084.50 : x
  2. Step 2: Convert to fraction form
    101,568/220,084.50 = 220,084.50/x
  3. Step 3: Cross multiply
    101,568x = 220,084.50 × 220,084.50
  4. Step 4: Simplify right side
    101,568x = 48,437,187,140.25
  5. Step 5: Solve for x
    x = 48,437,187,140.25/101,568
  6. Step 6: Final answer
    x = 476,894.17

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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.