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Finding the Third Proportional to 101,713.75 and 221,509

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Solution

The third proportional to 101,713.75 and 221,509 is: 482,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,713.75 : 221,509 = 221,509 : x
  2. Step 2: Convert to fraction form
    101,713.75/221,509 = 221,509/x
  3. Step 3: Cross multiply
    101,713.75x = 221,509 × 221,509
  4. Step 4: Simplify right side
    101,713.75x = 49,066,237,081
  5. Step 5: Solve for x
    x = 49,066,237,081/101,713.75
  6. Step 6: Final answer
    x = 482,395.32

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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.