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Finding the Third Proportional to 100,632.38 and 213,242.63

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Solution

The third proportional to 100,632.38 and 213,242.63 is: 451,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.38 : 213,242.63 = 213,242.63 : x
  2. Step 2: Convert to fraction form
    100,632.38/213,242.63 = 213,242.63/x
  3. Step 3: Cross multiply
    100,632.38x = 213,242.63 × 213,242.63
  4. Step 4: Simplify right side
    100,632.38x = 45,472,417,116.89
  5. Step 5: Solve for x
    x = 45,472,417,116.89/100,632.38
  6. Step 6: Final answer
    x = 451,866.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.