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Finding the Third Proportional to 98,643.56 and 217,395.38

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Solution

The third proportional to 98,643.56 and 217,395.38 is: 479,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,643.56 : 217,395.38 = 217,395.38 : x
  2. Step 2: Convert to fraction form
    98,643.56/217,395.38 = 217,395.38/x
  3. Step 3: Cross multiply
    98,643.56x = 217,395.38 × 217,395.38
  4. Step 4: Simplify right side
    98,643.56x = 47,260,749,071.39
  5. Step 5: Solve for x
    x = 47,260,749,071.39/98,643.56
  6. Step 6: Final answer
    x = 479,106.27

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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.