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Finding the Third Proportional to 107,104.50 and 235,225.50

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Solution

The third proportional to 107,104.50 and 235,225.50 is: 516,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,104.50 : 235,225.50 = 235,225.50 : x
  2. Step 2: Convert to fraction form
    107,104.50/235,225.50 = 235,225.50/x
  3. Step 3: Cross multiply
    107,104.50x = 235,225.50 × 235,225.50
  4. Step 4: Simplify right side
    107,104.50x = 55,331,035,850.25
  5. Step 5: Solve for x
    x = 55,331,035,850.25/107,104.50
  6. Step 6: Final answer
    x = 516,607.95

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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.