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Finding the Third Proportional to 106,565.63 and 229,736.25

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Solution

The third proportional to 106,565.63 and 229,736.25 is: 495,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.63 : 229,736.25 = 229,736.25 : x
  2. Step 2: Convert to fraction form
    106,565.63/229,736.25 = 229,736.25/x
  3. Step 3: Cross multiply
    106,565.63x = 229,736.25 × 229,736.25
  4. Step 4: Simplify right side
    106,565.63x = 52,778,744,564.06
  5. Step 5: Solve for x
    x = 52,778,744,564.06/106,565.63
  6. Step 6: Final answer
    x = 495,269.88

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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.