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Finding the Third Proportional to 97,229.81 and 207,946.69

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Solution

The third proportional to 97,229.81 and 207,946.69 is: 444,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,229.81 : 207,946.69 = 207,946.69 : x
  2. Step 2: Convert to fraction form
    97,229.81/207,946.69 = 207,946.69/x
  3. Step 3: Cross multiply
    97,229.81x = 207,946.69 × 207,946.69
  4. Step 4: Simplify right side
    97,229.81x = 43,241,824,842.22
  5. Step 5: Solve for x
    x = 43,241,824,842.22/97,229.81
  6. Step 6: Final answer
    x = 444,738.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.