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Finding the Third Proportional to 84,335.63 and 181,177.88

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Solution

The third proportional to 84,335.63 and 181,177.88 is: 389,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,335.63 : 181,177.88 = 181,177.88 : x
  2. Step 2: Convert to fraction form
    84,335.63/181,177.88 = 181,177.88/x
  3. Step 3: Cross multiply
    84,335.63x = 181,177.88 × 181,177.88
  4. Step 4: Simplify right side
    84,335.63x = 32,825,422,389.52
  5. Step 5: Solve for x
    x = 32,825,422,389.52/84,335.63
  6. Step 6: Final answer
    x = 389,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.