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Finding the Third Proportional to 102,333.38 and 215,269.52

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Solution

The third proportional to 102,333.38 and 215,269.52 is: 452,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,333.38 : 215,269.52 = 215,269.52 : x
  2. Step 2: Convert to fraction form
    102,333.38/215,269.52 = 215,269.52/x
  3. Step 3: Cross multiply
    102,333.38x = 215,269.52 × 215,269.52
  4. Step 4: Simplify right side
    102,333.38x = 46,340,967,721.01
  5. Step 5: Solve for x
    x = 46,340,967,721.01/102,333.38
  6. Step 6: Final answer
    x = 452,843.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.