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Finding the Third Proportional to 84,038.13 and 182,077.88

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Solution

The third proportional to 84,038.13 and 182,077.88 is: 394,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,038.13 : 182,077.88 = 182,077.88 : x
  2. Step 2: Convert to fraction form
    84,038.13/182,077.88 = 182,077.88/x
  3. Step 3: Cross multiply
    84,038.13x = 182,077.88 × 182,077.88
  4. Step 4: Simplify right side
    84,038.13x = 33,152,352,564.52
  5. Step 5: Solve for x
    x = 33,152,352,564.52/84,038.13
  6. Step 6: Final answer
    x = 394,491.78

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Why These Related Problems?

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