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Finding the Third Proportional to 42,357.94 and 92,094.47

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Solution

The third proportional to 42,357.94 and 92,094.47 is: 200,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357.94 : 92,094.47 = 92,094.47 : x
  2. Step 2: Convert to fraction form
    42,357.94/92,094.47 = 92,094.47/x
  3. Step 3: Cross multiply
    42,357.94x = 92,094.47 × 92,094.47
  4. Step 4: Simplify right side
    42,357.94x = 8,481,391,174.34
  5. Step 5: Solve for x
    x = 8,481,391,174.34/42,357.94
  6. Step 6: Final answer
    x = 200,231.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.