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Finding the Third Proportional to 96,978.09 and 150,511.92

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Solution

The third proportional to 96,978.09 and 150,511.92 is: 233,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,978.09 : 150,511.92 = 150,511.92 : x
  2. Step 2: Convert to fraction form
    96,978.09/150,511.92 = 150,511.92/x
  3. Step 3: Cross multiply
    96,978.09x = 150,511.92 × 150,511.92
  4. Step 4: Simplify right side
    96,978.09x = 22,653,838,626.51
  5. Step 5: Solve for x
    x = 22,653,838,626.51/96,978.09
  6. Step 6: Final answer
    x = 233,597.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.