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Finding the Third Proportional to 107,185.78 and 228,621.23

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Solution

The third proportional to 107,185.78 and 228,621.23 is: 487,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,185.78 : 228,621.23 = 228,621.23 : x
  2. Step 2: Convert to fraction form
    107,185.78/228,621.23 = 228,621.23/x
  3. Step 3: Cross multiply
    107,185.78x = 228,621.23 × 228,621.23
  4. Step 4: Simplify right side
    107,185.78x = 52,267,668,807.15
  5. Step 5: Solve for x
    x = 52,267,668,807.15/107,185.78
  6. Step 6: Final answer
    x = 487,636.22

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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.