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Finding the Third Proportional to 43,013.81 and 93,196.13

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Solution

The third proportional to 43,013.81 and 93,196.13 is: 201,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,013.81 : 93,196.13 = 93,196.13 : x
  2. Step 2: Convert to fraction form
    43,013.81/93,196.13 = 93,196.13/x
  3. Step 3: Cross multiply
    43,013.81x = 93,196.13 × 93,196.13
  4. Step 4: Simplify right side
    43,013.81x = 8,685,517,715.02
  5. Step 5: Solve for x
    x = 8,685,517,715.02/43,013.81
  6. Step 6: Final answer
    x = 201,923.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.