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Finding the Third Proportional to 106,819.13 and 233,488.38

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Solution

The third proportional to 106,819.13 and 233,488.38 is: 510,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,819.13 : 233,488.38 = 233,488.38 : x
  2. Step 2: Convert to fraction form
    106,819.13/233,488.38 = 233,488.38/x
  3. Step 3: Cross multiply
    106,819.13x = 233,488.38 × 233,488.38
  4. Step 4: Simplify right side
    106,819.13x = 54,516,821,260.14
  5. Step 5: Solve for x
    x = 54,516,821,260.14/106,819.13
  6. Step 6: Final answer
    x = 510,365.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.