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Finding the Third Proportional to 102,044.81 and 215,434.69

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Solution

The third proportional to 102,044.81 and 215,434.69 is: 454,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.81 : 215,434.69 = 215,434.69 : x
  2. Step 2: Convert to fraction form
    102,044.81/215,434.69 = 215,434.69/x
  3. Step 3: Cross multiply
    102,044.81x = 215,434.69 × 215,434.69
  4. Step 4: Simplify right side
    102,044.81x = 46,412,104,578.22
  5. Step 5: Solve for x
    x = 46,412,104,578.22/102,044.81
  6. Step 6: Final answer
    x = 454,820.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.