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Finding the Third Proportional to 44,944.88 and 96,901.31

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Solution

The third proportional to 44,944.88 and 96,901.31 is: 208,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,944.88 : 96,901.31 = 96,901.31 : x
  2. Step 2: Convert to fraction form
    44,944.88/96,901.31 = 96,901.31/x
  3. Step 3: Cross multiply
    44,944.88x = 96,901.31 × 96,901.31
  4. Step 4: Simplify right side
    44,944.88x = 9,389,864,364.22
  5. Step 5: Solve for x
    x = 9,389,864,364.22/44,944.88
  6. Step 6: Final answer
    x = 208,919.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.