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Finding the Third Proportional to 97,660.69 and 207,316.97

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Solution

The third proportional to 97,660.69 and 207,316.97 is: 440,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,660.69 : 207,316.97 = 207,316.97 : x
  2. Step 2: Convert to fraction form
    97,660.69/207,316.97 = 207,316.97/x
  3. Step 3: Cross multiply
    97,660.69x = 207,316.97 × 207,316.97
  4. Step 4: Simplify right side
    97,660.69x = 42,980,325,531.69
  5. Step 5: Solve for x
    x = 42,980,325,531.69/97,660.69
  6. Step 6: Final answer
    x = 440,098.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.