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Finding the Third Proportional to 70,188 and 152,198.75

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Solution

The third proportional to 70,188 and 152,198.75 is: 330,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,188 : 152,198.75 = 152,198.75 : x
  2. Step 2: Convert to fraction form
    70,188/152,198.75 = 152,198.75/x
  3. Step 3: Cross multiply
    70,188x = 152,198.75 × 152,198.75
  4. Step 4: Simplify right side
    70,188x = 23,164,459,501.56
  5. Step 5: Solve for x
    x = 23,164,459,501.56/70,188
  6. Step 6: Final answer
    x = 330,034.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.