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Finding the Third Proportional to 96,698.81 and 147,827.44

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Solution

The third proportional to 96,698.81 and 147,827.44 is: 225,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698.81 : 147,827.44 = 147,827.44 : x
  2. Step 2: Convert to fraction form
    96,698.81/147,827.44 = 147,827.44/x
  3. Step 3: Cross multiply
    96,698.81x = 147,827.44 × 147,827.44
  4. Step 4: Simplify right side
    96,698.81x = 21,852,951,277.82
  5. Step 5: Solve for x
    x = 21,852,951,277.82/96,698.81
  6. Step 6: Final answer
    x = 225,989.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.