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Finding the Third Proportional to 107,712.28 and 229,042.69

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Solution

The third proportional to 107,712.28 and 229,042.69 is: 487,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712.28 : 229,042.69 = 229,042.69 : x
  2. Step 2: Convert to fraction form
    107,712.28/229,042.69 = 229,042.69/x
  3. Step 3: Cross multiply
    107,712.28x = 229,042.69 × 229,042.69
  4. Step 4: Simplify right side
    107,712.28x = 52,460,552,697.22
  5. Step 5: Solve for x
    x = 52,460,552,697.22/107,712.28
  6. Step 6: Final answer
    x = 487,043.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.