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Finding the Third Proportional to 92,289.69 and 201,661.05

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Solution

The third proportional to 92,289.69 and 201,661.05 is: 440,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,289.69 : 201,661.05 = 201,661.05 : x
  2. Step 2: Convert to fraction form
    92,289.69/201,661.05 = 201,661.05/x
  3. Step 3: Cross multiply
    92,289.69x = 201,661.05 × 201,661.05
  4. Step 4: Simplify right side
    92,289.69x = 40,667,178,614.46
  5. Step 5: Solve for x
    x = 40,667,178,614.46/92,289.69
  6. Step 6: Final answer
    x = 440,647.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.