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Finding the Third Proportional to 84,841.88 and 167,542.13

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Solution

The third proportional to 84,841.88 and 167,542.13 is: 330,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,841.88 : 167,542.13 = 167,542.13 : x
  2. Step 2: Convert to fraction form
    84,841.88/167,542.13 = 167,542.13/x
  3. Step 3: Cross multiply
    84,841.88x = 167,542.13 × 167,542.13
  4. Step 4: Simplify right side
    84,841.88x = 28,070,363,649.52
  5. Step 5: Solve for x
    x = 28,070,363,649.52/84,841.88
  6. Step 6: Final answer
    x = 330,855.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.