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Finding the Third Proportional to 92,666.81 and 203,376.38

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Solution

The third proportional to 92,666.81 and 203,376.38 is: 446,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,666.81 : 203,376.38 = 203,376.38 : x
  2. Step 2: Convert to fraction form
    92,666.81/203,376.38 = 203,376.38/x
  3. Step 3: Cross multiply
    92,666.81x = 203,376.38 × 203,376.38
  4. Step 4: Simplify right side
    92,666.81x = 41,361,949,908.14
  5. Step 5: Solve for x
    x = 41,361,949,908.14/92,666.81
  6. Step 6: Final answer
    x = 446,351.27

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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.