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Finding the Third Proportional to 42,265.13 and 91,090.13

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Solution

The third proportional to 42,265.13 and 91,090.13 is: 196,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.13 : 91,090.13 = 91,090.13 : x
  2. Step 2: Convert to fraction form
    42,265.13/91,090.13 = 91,090.13/x
  3. Step 3: Cross multiply
    42,265.13x = 91,090.13 × 91,090.13
  4. Step 4: Simplify right side
    42,265.13x = 8,297,410,872.52
  5. Step 5: Solve for x
    x = 8,297,410,872.52/42,265.13
  6. Step 6: Final answer
    x = 196,318.14

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Why These Related Problems?

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