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Finding the Third Proportional to 44,956.69 and 96,472.69

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Solution

The third proportional to 44,956.69 and 96,472.69 is: 207,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,956.69 : 96,472.69 = 96,472.69 : x
  2. Step 2: Convert to fraction form
    44,956.69/96,472.69 = 96,472.69/x
  3. Step 3: Cross multiply
    44,956.69x = 96,472.69 × 96,472.69
  4. Step 4: Simplify right side
    44,956.69x = 9,306,979,433.47
  5. Step 5: Solve for x
    x = 9,306,979,433.47/44,956.69
  6. Step 6: Final answer
    x = 207,021.02

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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.