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Finding the Third Proportional to 90,557.25 and 197,942.25

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Solution

The third proportional to 90,557.25 and 197,942.25 is: 432,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,557.25 : 197,942.25 = 197,942.25 : x
  2. Step 2: Convert to fraction form
    90,557.25/197,942.25 = 197,942.25/x
  3. Step 3: Cross multiply
    90,557.25x = 197,942.25 × 197,942.25
  4. Step 4: Simplify right side
    90,557.25x = 39,181,134,335.06
  5. Step 5: Solve for x
    x = 39,181,134,335.06/90,557.25
  6. Step 6: Final answer
    x = 432,667.01

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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.