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Finding the Third Proportional to 107,147.81 and 235,444.22

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Solution

The third proportional to 107,147.81 and 235,444.22 is: 517,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,147.81 : 235,444.22 = 235,444.22 : x
  2. Step 2: Convert to fraction form
    107,147.81/235,444.22 = 235,444.22/x
  3. Step 3: Cross multiply
    107,147.81x = 235,444.22 × 235,444.22
  4. Step 4: Simplify right side
    107,147.81x = 55,433,980,142.80
  5. Step 5: Solve for x
    x = 55,433,980,142.80/107,147.81
  6. Step 6: Final answer
    x = 517,359.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.