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Finding the Third Proportional to 99,795.75 and 221,738.25

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Solution

The third proportional to 99,795.75 and 221,738.25 is: 492,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,795.75 : 221,738.25 = 221,738.25 : x
  2. Step 2: Convert to fraction form
    99,795.75/221,738.25 = 221,738.25/x
  3. Step 3: Cross multiply
    99,795.75x = 221,738.25 × 221,738.25
  4. Step 4: Simplify right side
    99,795.75x = 49,167,851,513.06
  5. Step 5: Solve for x
    x = 49,167,851,513.06/99,795.75
  6. Step 6: Final answer
    x = 492,684.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.