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Finding the Third Proportional to 92,666.25 and 203,375.25

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Solution

The third proportional to 92,666.25 and 203,375.25 is: 446,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,666.25 : 203,375.25 = 203,375.25 : x
  2. Step 2: Convert to fraction form
    92,666.25/203,375.25 = 203,375.25/x
  3. Step 3: Cross multiply
    92,666.25x = 203,375.25 × 203,375.25
  4. Step 4: Simplify right side
    92,666.25x = 41,361,492,312.56
  5. Step 5: Solve for x
    x = 41,361,492,312.56/92,666.25
  6. Step 6: Final answer
    x = 446,349.05

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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.