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Finding the Third Proportional to 88,740 and 193,031

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Solution

The third proportional to 88,740 and 193,031 is: 419,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,740 : 193,031 = 193,031 : x
  2. Step 2: Convert to fraction form
    88,740/193,031 = 193,031/x
  3. Step 3: Cross multiply
    88,740x = 193,031 × 193,031
  4. Step 4: Simplify right side
    88,740x = 37,260,966,961
  5. Step 5: Solve for x
    x = 37,260,966,961/88,740
  6. Step 6: Final answer
    x = 419,889.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.