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Finding the Third Proportional to 45,904.22 and 95,931.84

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Solution

The third proportional to 45,904.22 and 95,931.84 is: 200,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904.22 : 95,931.84 = 95,931.84 : x
  2. Step 2: Convert to fraction form
    45,904.22/95,931.84 = 95,931.84/x
  3. Step 3: Cross multiply
    45,904.22x = 95,931.84 × 95,931.84
  4. Step 4: Simplify right side
    45,904.22x = 9,202,918,645.27
  5. Step 5: Solve for x
    x = 9,202,918,645.27/45,904.22
  6. Step 6: Final answer
    x = 200,480.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.