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Finding the Third Proportional to 44,919.75 and 98,953.75

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Solution

The third proportional to 44,919.75 and 98,953.75 is: 217,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,919.75 : 98,953.75 = 98,953.75 : x
  2. Step 2: Convert to fraction form
    44,919.75/98,953.75 = 98,953.75/x
  3. Step 3: Cross multiply
    44,919.75x = 98,953.75 × 98,953.75
  4. Step 4: Simplify right side
    44,919.75x = 9,791,844,639.06
  5. Step 5: Solve for x
    x = 9,791,844,639.06/44,919.75
  6. Step 6: Final answer
    x = 217,985.29

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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.