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Finding the Third Proportional to 45,858.88 and 100,124.13

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Solution

The third proportional to 45,858.88 and 100,124.13 is: 218,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,858.88 : 100,124.13 = 100,124.13 : x
  2. Step 2: Convert to fraction form
    45,858.88/100,124.13 = 100,124.13/x
  3. Step 3: Cross multiply
    45,858.88x = 100,124.13 × 100,124.13
  4. Step 4: Simplify right side
    45,858.88x = 10,024,840,407.02
  5. Step 5: Solve for x
    x = 10,024,840,407.02/45,858.88
  6. Step 6: Final answer
    x = 218,601.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.