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Finding the Third Proportional to 91,533.38 and 192,908.25

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Solution

The third proportional to 91,533.38 and 192,908.25 is: 406,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,533.38 : 192,908.25 = 192,908.25 : x
  2. Step 2: Convert to fraction form
    91,533.38/192,908.25 = 192,908.25/x
  3. Step 3: Cross multiply
    91,533.38x = 192,908.25 × 192,908.25
  4. Step 4: Simplify right side
    91,533.38x = 37,213,592,918.06
  5. Step 5: Solve for x
    x = 37,213,592,918.06/91,533.38
  6. Step 6: Final answer
    x = 406,557.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.