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Finding the Third Proportional to 103,636.13 and 215,061.75

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Solution

The third proportional to 103,636.13 and 215,061.75 is: 446,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636.13 : 215,061.75 = 215,061.75 : x
  2. Step 2: Convert to fraction form
    103,636.13/215,061.75 = 215,061.75/x
  3. Step 3: Cross multiply
    103,636.13x = 215,061.75 × 215,061.75
  4. Step 4: Simplify right side
    103,636.13x = 46,251,556,313.06
  5. Step 5: Solve for x
    x = 46,251,556,313.06/103,636.13
  6. Step 6: Final answer
    x = 446,287.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.