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Finding the Third Proportional to 107,098.03 and 235,216.83

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Solution

The third proportional to 107,098.03 and 235,216.83 is: 516,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.03 : 235,216.83 = 235,216.83 : x
  2. Step 2: Convert to fraction form
    107,098.03/235,216.83 = 235,216.83/x
  3. Step 3: Cross multiply
    107,098.03x = 235,216.83 × 235,216.83
  4. Step 4: Simplify right side
    107,098.03x = 55,326,956,233.19
  5. Step 5: Solve for x
    x = 55,326,956,233.19/107,098.03
  6. Step 6: Final answer
    x = 516,601.06

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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.