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Finding the Third Proportional to 99,046.13 and 209,023.88

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Solution

The third proportional to 99,046.13 and 209,023.88 is: 441,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,046.13 : 209,023.88 = 209,023.88 : x
  2. Step 2: Convert to fraction form
    99,046.13/209,023.88 = 209,023.88/x
  3. Step 3: Cross multiply
    99,046.13x = 209,023.88 × 209,023.88
  4. Step 4: Simplify right side
    99,046.13x = 43,690,980,320.02
  5. Step 5: Solve for x
    x = 43,690,980,320.02/99,046.13
  6. Step 6: Final answer
    x = 441,117.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.