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Finding the Third Proportional to 44,116 and 96,164

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Solution

The third proportional to 44,116 and 96,164 is: 209,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,116 : 96,164 = 96,164 : x
  2. Step 2: Convert to fraction form
    44,116/96,164 = 96,164/x
  3. Step 3: Cross multiply
    44,116x = 96,164 × 96,164
  4. Step 4: Simplify right side
    44,116x = 9,247,514,896
  5. Step 5: Solve for x
    x = 9,247,514,896/44,116
  6. Step 6: Final answer
    x = 209,618.16

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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.