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Finding the Third Proportional to 98,958.38 and 207,636.75

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Solution

The third proportional to 98,958.38 and 207,636.75 is: 435,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,958.38 : 207,636.75 = 207,636.75 : x
  2. Step 2: Convert to fraction form
    98,958.38/207,636.75 = 207,636.75/x
  3. Step 3: Cross multiply
    98,958.38x = 207,636.75 × 207,636.75
  4. Step 4: Simplify right side
    98,958.38x = 43,113,019,950.56
  5. Step 5: Solve for x
    x = 43,113,019,950.56/98,958.38
  6. Step 6: Final answer
    x = 435,668.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.