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Finding the Third Proportional to 70,697.81 and 152,467.31

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Solution

The third proportional to 70,697.81 and 152,467.31 is: 328,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697.81 : 152,467.31 = 152,467.31 : x
  2. Step 2: Convert to fraction form
    70,697.81/152,467.31 = 152,467.31/x
  3. Step 3: Cross multiply
    70,697.81x = 152,467.31 × 152,467.31
  4. Step 4: Simplify right side
    70,697.81x = 23,246,281,380.97
  5. Step 5: Solve for x
    x = 23,246,281,380.97/70,697.81
  6. Step 6: Final answer
    x = 328,811.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.