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Finding the Third Proportional to 107,214.26 and 228,678.19

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Solution

The third proportional to 107,214.26 and 228,678.19 is: 487,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214.26 : 228,678.19 = 228,678.19 : x
  2. Step 2: Convert to fraction form
    107,214.26/228,678.19 = 228,678.19/x
  3. Step 3: Cross multiply
    107,214.26x = 228,678.19 × 228,678.19
  4. Step 4: Simplify right side
    107,214.26x = 52,293,713,438.29
  5. Step 5: Solve for x
    x = 52,293,713,438.29/107,214.26
  6. Step 6: Final answer
    x = 487,749.62

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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.