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Finding the Third Proportional to 44,186 and 96,148

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Solution

The third proportional to 44,186 and 96,148 is: 209,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,186 : 96,148 = 96,148 : x
  2. Step 2: Convert to fraction form
    44,186/96,148 = 96,148/x
  3. Step 3: Cross multiply
    44,186x = 96,148 × 96,148
  4. Step 4: Simplify right side
    44,186x = 9,244,437,904
  5. Step 5: Solve for x
    x = 9,244,437,904/44,186
  6. Step 6: Final answer
    x = 209,216.45

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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.