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Finding the Third Proportional to 91,581.75 and 195,260.34

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Solution

The third proportional to 91,581.75 and 195,260.34 is: 416,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,581.75 : 195,260.34 = 195,260.34 : x
  2. Step 2: Convert to fraction form
    91,581.75/195,260.34 = 195,260.34/x
  3. Step 3: Cross multiply
    91,581.75x = 195,260.34 × 195,260.34
  4. Step 4: Simplify right side
    91,581.75x = 38,126,601,841.37
  5. Step 5: Solve for x
    x = 38,126,601,841.37/91,581.75
  6. Step 6: Final answer
    x = 416,312.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.