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Finding the Third Proportional to 43,980 and 97,804

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Solution

The third proportional to 43,980 and 97,804 is: 217,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,980 : 97,804 = 97,804 : x
  2. Step 2: Convert to fraction form
    43,980/97,804 = 97,804/x
  3. Step 3: Cross multiply
    43,980x = 97,804 × 97,804
  4. Step 4: Simplify right side
    43,980x = 9,565,622,416
  5. Step 5: Solve for x
    x = 9,565,622,416/43,980
  6. Step 6: Final answer
    x = 217,499.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.