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Finding the Third Proportional to 42,135.19 and 91,018.69

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Solution

The third proportional to 42,135.19 and 91,018.69 is: 196,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135.19 : 91,018.69 = 91,018.69 : x
  2. Step 2: Convert to fraction form
    42,135.19/91,018.69 = 91,018.69/x
  3. Step 3: Cross multiply
    42,135.19x = 91,018.69 × 91,018.69
  4. Step 4: Simplify right side
    42,135.19x = 8,284,401,474.22
  5. Step 5: Solve for x
    x = 8,284,401,474.22/42,135.19
  6. Step 6: Final answer
    x = 196,614.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.