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Finding the Third Proportional to 112,686.19 and 229,546.13

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Solution

The third proportional to 112,686.19 and 229,546.13 is: 467,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,686.19 : 229,546.13 = 229,546.13 : x
  2. Step 2: Convert to fraction form
    112,686.19/229,546.13 = 229,546.13/x
  3. Step 3: Cross multiply
    112,686.19x = 229,546.13 × 229,546.13
  4. Step 4: Simplify right side
    112,686.19x = 52,691,423,502.52
  5. Step 5: Solve for x
    x = 52,691,423,502.52/112,686.19
  6. Step 6: Final answer
    x = 467,594.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.