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Finding the Third Proportional to 107,708.63 and 230,078.25

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Solution

The third proportional to 107,708.63 and 230,078.25 is: 491,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,708.63 : 230,078.25 = 230,078.25 : x
  2. Step 2: Convert to fraction form
    107,708.63/230,078.25 = 230,078.25/x
  3. Step 3: Cross multiply
    107,708.63x = 230,078.25 × 230,078.25
  4. Step 4: Simplify right side
    107,708.63x = 52,936,001,123.06
  5. Step 5: Solve for x
    x = 52,936,001,123.06/107,708.63
  6. Step 6: Final answer
    x = 491,474.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.