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Finding the Third Proportional to 44,772.75 and 98,293.50

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Solution

The third proportional to 44,772.75 and 98,293.50 is: 215,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,772.75 : 98,293.50 = 98,293.50 : x
  2. Step 2: Convert to fraction form
    44,772.75/98,293.50 = 98,293.50/x
  3. Step 3: Cross multiply
    44,772.75x = 98,293.50 × 98,293.50
  4. Step 4: Simplify right side
    44,772.75x = 9,661,612,142.25
  5. Step 5: Solve for x
    x = 9,661,612,142.25/44,772.75
  6. Step 6: Final answer
    x = 215,792.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.