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Finding the Third Proportional to 92,513.81 and 199,302.75

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Solution

The third proportional to 92,513.81 and 199,302.75 is: 429,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,513.81 : 199,302.75 = 199,302.75 : x
  2. Step 2: Convert to fraction form
    92,513.81/199,302.75 = 199,302.75/x
  3. Step 3: Cross multiply
    92,513.81x = 199,302.75 × 199,302.75
  4. Step 4: Simplify right side
    92,513.81x = 39,721,586,157.56
  5. Step 5: Solve for x
    x = 39,721,586,157.56/92,513.81
  6. Step 6: Final answer
    x = 429,358.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.