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Finding the Third Proportional to 98,182.13 and 211,394.81

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Solution

The third proportional to 98,182.13 and 211,394.81 is: 455,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182.13 : 211,394.81 = 211,394.81 : x
  2. Step 2: Convert to fraction form
    98,182.13/211,394.81 = 211,394.81/x
  3. Step 3: Cross multiply
    98,182.13x = 211,394.81 × 211,394.81
  4. Step 4: Simplify right side
    98,182.13x = 44,687,766,751.91
  5. Step 5: Solve for x
    x = 44,687,766,751.91/98,182.13
  6. Step 6: Final answer
    x = 455,151.76

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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.