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Finding the Third Proportional to 104,734.90 and 226,071.63

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Solution

The third proportional to 104,734.90 and 226,071.63 is: 487,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,734.90 : 226,071.63 = 226,071.63 : x
  2. Step 2: Convert to fraction form
    104,734.90/226,071.63 = 226,071.63/x
  3. Step 3: Cross multiply
    104,734.90x = 226,071.63 × 226,071.63
  4. Step 4: Simplify right side
    104,734.90x = 51,108,383,162.51
  5. Step 5: Solve for x
    x = 51,108,383,162.51/104,734.90
  6. Step 6: Final answer
    x = 487,978.54

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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.