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Finding the Third Proportional to 98,448.75 and 201,046.50

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Solution

The third proportional to 98,448.75 and 201,046.50 is: 410,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448.75 : 201,046.50 = 201,046.50 : x
  2. Step 2: Convert to fraction form
    98,448.75/201,046.50 = 201,046.50/x
  3. Step 3: Cross multiply
    98,448.75x = 201,046.50 × 201,046.50
  4. Step 4: Simplify right side
    98,448.75x = 40,419,695,162.25
  5. Step 5: Solve for x
    x = 40,419,695,162.25/98,448.75
  6. Step 6: Final answer
    x = 410,565.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.