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Finding the Third Proportional to 45,846 and 100,440

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Solution

The third proportional to 45,846 and 100,440 is: 220,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,846 : 100,440 = 100,440 : x
  2. Step 2: Convert to fraction form
    45,846/100,440 = 100,440/x
  3. Step 3: Cross multiply
    45,846x = 100,440 × 100,440
  4. Step 4: Simplify right side
    45,846x = 10,088,193,600
  5. Step 5: Solve for x
    x = 10,088,193,600/45,846
  6. Step 6: Final answer
    x = 220,045.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.