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Finding the Third Proportional to 44,809 and 96,617

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Solution

The third proportional to 44,809 and 96,617 is: 208,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,809 : 96,617 = 96,617 : x
  2. Step 2: Convert to fraction form
    44,809/96,617 = 96,617/x
  3. Step 3: Cross multiply
    44,809x = 96,617 × 96,617
  4. Step 4: Simplify right side
    44,809x = 9,334,844,689
  5. Step 5: Solve for x
    x = 9,334,844,689/44,809
  6. Step 6: Final answer
    x = 208,325.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.