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Finding the Third Proportional to 102,826.13 and 236,044.13

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Solution

The third proportional to 102,826.13 and 236,044.13 is: 541,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,826.13 : 236,044.13 = 236,044.13 : x
  2. Step 2: Convert to fraction form
    102,826.13/236,044.13 = 236,044.13/x
  3. Step 3: Cross multiply
    102,826.13x = 236,044.13 × 236,044.13
  4. Step 4: Simplify right side
    102,826.13x = 55,716,828,947.02
  5. Step 5: Solve for x
    x = 55,716,828,947.02/102,826.13
  6. Step 6: Final answer
    x = 541,854.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.