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Finding the Third Proportional to 96,715.69 and 205,886.81

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Solution

The third proportional to 96,715.69 and 205,886.81 is: 438,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,715.69 : 205,886.81 = 205,886.81 : x
  2. Step 2: Convert to fraction form
    96,715.69/205,886.81 = 205,886.81/x
  3. Step 3: Cross multiply
    96,715.69x = 205,886.81 × 205,886.81
  4. Step 4: Simplify right side
    96,715.69x = 42,389,379,561.41
  5. Step 5: Solve for x
    x = 42,389,379,561.41/96,715.69
  6. Step 6: Final answer
    x = 438,288.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.