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Finding the Third Proportional to 45,092.64 and 96,487.14

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Solution

The third proportional to 45,092.64 and 96,487.14 is: 206,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,092.64 : 96,487.14 = 96,487.14 : x
  2. Step 2: Convert to fraction form
    45,092.64/96,487.14 = 96,487.14/x
  3. Step 3: Cross multiply
    45,092.64x = 96,487.14 × 96,487.14
  4. Step 4: Simplify right side
    45,092.64x = 9,309,767,552.18
  5. Step 5: Solve for x
    x = 9,309,767,552.18/45,092.64
  6. Step 6: Final answer
    x = 206,458.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.