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Finding the Third Proportional to 92,029.50 and 201,179.25

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Solution

The third proportional to 92,029.50 and 201,179.25 is: 439,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,029.50 : 201,179.25 = 201,179.25 : x
  2. Step 2: Convert to fraction form
    92,029.50/201,179.25 = 201,179.25/x
  3. Step 3: Cross multiply
    92,029.50x = 201,179.25 × 201,179.25
  4. Step 4: Simplify right side
    92,029.50x = 40,473,090,630.56
  5. Step 5: Solve for x
    x = 40,473,090,630.56/92,029.50
  6. Step 6: Final answer
    x = 439,783.88

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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.