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Finding the Third Proportional to 43,073.23 and 98,864.51

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Solution

The third proportional to 43,073.23 and 98,864.51 is: 226,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,073.23 : 98,864.51 = 98,864.51 : x
  2. Step 2: Convert to fraction form
    43,073.23/98,864.51 = 98,864.51/x
  3. Step 3: Cross multiply
    43,073.23x = 98,864.51 × 98,864.51
  4. Step 4: Simplify right side
    43,073.23x = 9,774,190,905.01
  5. Step 5: Solve for x
    x = 9,774,190,905.01/43,073.23
  6. Step 6: Final answer
    x = 226,920.33

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.