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Finding the Third Proportional to 107,214 and 235,447.50

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Solution

The third proportional to 107,214 and 235,447.50 is: 517,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214 : 235,447.50 = 235,447.50 : x
  2. Step 2: Convert to fraction form
    107,214/235,447.50 = 235,447.50/x
  3. Step 3: Cross multiply
    107,214x = 235,447.50 × 235,447.50
  4. Step 4: Simplify right side
    107,214x = 55,435,525,256.25
  5. Step 5: Solve for x
    x = 55,435,525,256.25/107,214
  6. Step 6: Final answer
    x = 517,054.91

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