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Finding the Third Proportional to 105,619.36 and 234,853.59

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Solution

The third proportional to 105,619.36 and 234,853.59 is: 522,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,619.36 : 234,853.59 = 234,853.59 : x
  2. Step 2: Convert to fraction form
    105,619.36/234,853.59 = 234,853.59/x
  3. Step 3: Cross multiply
    105,619.36x = 234,853.59 × 234,853.59
  4. Step 4: Simplify right side
    105,619.36x = 55,156,210,497.29
  5. Step 5: Solve for x
    x = 55,156,210,497.29/105,619.36
  6. Step 6: Final answer
    x = 522,216.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.