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Finding the Third Proportional to 44,995.50 and 96,801.75

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Solution

The third proportional to 44,995.50 and 96,801.75 is: 208,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,995.50 : 96,801.75 = 96,801.75 : x
  2. Step 2: Convert to fraction form
    44,995.50/96,801.75 = 96,801.75/x
  3. Step 3: Cross multiply
    44,995.50x = 96,801.75 × 96,801.75
  4. Step 4: Simplify right side
    44,995.50x = 9,370,578,803.06
  5. Step 5: Solve for x
    x = 9,370,578,803.06/44,995.50
  6. Step 6: Final answer
    x = 208,255.91

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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.