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Finding the Third Proportional to 106,897.13 and 230,364.38

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Solution

The third proportional to 106,897.13 and 230,364.38 is: 496,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897.13 : 230,364.38 = 230,364.38 : x
  2. Step 2: Convert to fraction form
    106,897.13/230,364.38 = 230,364.38/x
  3. Step 3: Cross multiply
    106,897.13x = 230,364.38 × 230,364.38
  4. Step 4: Simplify right side
    106,897.13x = 53,067,745,269.14
  5. Step 5: Solve for x
    x = 53,067,745,269.14/106,897.13
  6. Step 6: Final answer
    x = 496,437.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.