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Finding the Third Proportional to 82,871.81 and 181,417.13

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Solution

The third proportional to 82,871.81 and 181,417.13 is: 397,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.81 : 181,417.13 = 181,417.13 : x
  2. Step 2: Convert to fraction form
    82,871.81/181,417.13 = 181,417.13/x
  3. Step 3: Cross multiply
    82,871.81x = 181,417.13 × 181,417.13
  4. Step 4: Simplify right side
    82,871.81x = 32,912,173,243.27
  5. Step 5: Solve for x
    x = 32,912,173,243.27/82,871.81
  6. Step 6: Final answer
    x = 397,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.