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Finding the Third Proportional to 45,108 and 98,856

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Solution

The third proportional to 45,108 and 98,856 is: 216,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,108 : 98,856 = 98,856 : x
  2. Step 2: Convert to fraction form
    45,108/98,856 = 98,856/x
  3. Step 3: Cross multiply
    45,108x = 98,856 × 98,856
  4. Step 4: Simplify right side
    45,108x = 9,772,508,736
  5. Step 5: Solve for x
    x = 9,772,508,736/45,108
  6. Step 6: Final answer
    x = 216,646.91

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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.