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Finding the Third Proportional to 105,040.13 and 230,488.88

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Solution

The third proportional to 105,040.13 and 230,488.88 is: 505,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,040.13 : 230,488.88 = 230,488.88 : x
  2. Step 2: Convert to fraction form
    105,040.13/230,488.88 = 230,488.88/x
  3. Step 3: Cross multiply
    105,040.13x = 230,488.88 × 230,488.88
  4. Step 4: Simplify right side
    105,040.13x = 53,125,121,498.77
  5. Step 5: Solve for x
    x = 53,125,121,498.77/105,040.13
  6. Step 6: Final answer
    x = 505,760.27

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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.