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Finding the Third Proportional to 45,639.75 and 98,301.75

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Solution

The third proportional to 45,639.75 and 98,301.75 is: 211,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,639.75 : 98,301.75 = 98,301.75 : x
  2. Step 2: Convert to fraction form
    45,639.75/98,301.75 = 98,301.75/x
  3. Step 3: Cross multiply
    45,639.75x = 98,301.75 × 98,301.75
  4. Step 4: Simplify right side
    45,639.75x = 9,663,234,053.06
  5. Step 5: Solve for x
    x = 9,663,234,053.06/45,639.75
  6. Step 6: Final answer
    x = 211,728.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.