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Finding the Third Proportional to 45,121.13 and 91,337.63

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Solution

The third proportional to 45,121.13 and 91,337.63 is: 184,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,121.13 : 91,337.63 = 91,337.63 : x
  2. Step 2: Convert to fraction form
    45,121.13/91,337.63 = 91,337.63/x
  3. Step 3: Cross multiply
    45,121.13x = 91,337.63 × 91,337.63
  4. Step 4: Simplify right side
    45,121.13x = 8,342,561,740.64
  5. Step 5: Solve for x
    x = 8,342,561,740.64/45,121.13
  6. Step 6: Final answer
    x = 184,892.59

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.