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Finding the Third Proportional to 98,822.25 and 217,325.25

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Solution

The third proportional to 98,822.25 and 217,325.25 is: 477,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822.25 : 217,325.25 = 217,325.25 : x
  2. Step 2: Convert to fraction form
    98,822.25/217,325.25 = 217,325.25/x
  3. Step 3: Cross multiply
    98,822.25x = 217,325.25 × 217,325.25
  4. Step 4: Simplify right side
    98,822.25x = 47,230,264,287.56
  5. Step 5: Solve for x
    x = 47,230,264,287.56/98,822.25
  6. Step 6: Final answer
    x = 477,931.48

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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.