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Finding the Third Proportional to 44,654.73 and 96,320.39

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Solution

The third proportional to 44,654.73 and 96,320.39 is: 207,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,654.73 : 96,320.39 = 96,320.39 : x
  2. Step 2: Convert to fraction form
    44,654.73/96,320.39 = 96,320.39/x
  3. Step 3: Cross multiply
    44,654.73x = 96,320.39 × 96,320.39
  4. Step 4: Simplify right side
    44,654.73x = 9,277,617,650.15
  5. Step 5: Solve for x
    x = 9,277,617,650.15/44,654.73
  6. Step 6: Final answer
    x = 207,763.38

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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.