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Finding the Third Proportional to 45,489.09 and 98,709.05

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Solution

The third proportional to 45,489.09 and 98,709.05 is: 214,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,489.09 : 98,709.05 = 98,709.05 : x
  2. Step 2: Convert to fraction form
    45,489.09/98,709.05 = 98,709.05/x
  3. Step 3: Cross multiply
    45,489.09x = 98,709.05 × 98,709.05
  4. Step 4: Simplify right side
    45,489.09x = 9,743,475,934.97
  5. Step 5: Solve for x
    x = 9,743,475,934.97/45,489.09
  6. Step 6: Final answer
    x = 214,193.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.