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Finding the Third Proportional to 135,655.88 and 199,423.69

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Solution

The third proportional to 135,655.88 and 199,423.69 is: 293,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655.88 : 199,423.69 = 199,423.69 : x
  2. Step 2: Convert to fraction form
    135,655.88/199,423.69 = 199,423.69/x
  3. Step 3: Cross multiply
    135,655.88x = 199,423.69 × 199,423.69
  4. Step 4: Simplify right side
    135,655.88x = 39,769,807,136.10
  5. Step 5: Solve for x
    x = 39,769,807,136.10/135,655.88
  6. Step 6: Final answer
    x = 293,166.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.