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Finding the Third Proportional to 42,015.38 and 91,094.63

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Solution

The third proportional to 42,015.38 and 91,094.63 is: 197,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.38 : 91,094.63 = 91,094.63 : x
  2. Step 2: Convert to fraction form
    42,015.38/91,094.63 = 91,094.63/x
  3. Step 3: Cross multiply
    42,015.38x = 91,094.63 × 91,094.63
  4. Step 4: Simplify right side
    42,015.38x = 8,298,230,703.89
  5. Step 5: Solve for x
    x = 8,298,230,703.89/42,015.38
  6. Step 6: Final answer
    x = 197,504.62

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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.