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Finding the Third Proportional to 82,215 and 177,544.13

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Solution

The third proportional to 82,215 and 177,544.13 is: 383,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215 : 177,544.13 = 177,544.13 : x
  2. Step 2: Convert to fraction form
    82,215/177,544.13 = 177,544.13/x
  3. Step 3: Cross multiply
    82,215x = 177,544.13 × 177,544.13
  4. Step 4: Simplify right side
    82,215x = 31,521,916,322.02
  5. Step 5: Solve for x
    x = 31,521,916,322.02/82,215
  6. Step 6: Final answer
    x = 383,408.34

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Why These Related Problems?

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