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Finding the Third Proportional to 107,643.94 and 234,955.69

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Solution

The third proportional to 107,643.94 and 234,955.69 is: 512,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,643.94 : 234,955.69 = 234,955.69 : x
  2. Step 2: Convert to fraction form
    107,643.94/234,955.69 = 234,955.69/x
  3. Step 3: Cross multiply
    107,643.94x = 234,955.69 × 234,955.69
  4. Step 4: Simplify right side
    107,643.94x = 55,204,175,088.60
  5. Step 5: Solve for x
    x = 55,204,175,088.60/107,643.94
  6. Step 6: Final answer
    x = 512,840.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.