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Finding the Third Proportional to 99,713.53 and 209,883.66

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Solution

The third proportional to 99,713.53 and 209,883.66 is: 441,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.53 : 209,883.66 = 209,883.66 : x
  2. Step 2: Convert to fraction form
    99,713.53/209,883.66 = 209,883.66/x
  3. Step 3: Cross multiply
    99,713.53x = 209,883.66 × 209,883.66
  4. Step 4: Simplify right side
    99,713.53x = 44,051,149,160.87
  5. Step 5: Solve for x
    x = 44,051,149,160.87/99,713.53
  6. Step 6: Final answer
    x = 441,777.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.