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Finding the Third Proportional to 99,053.25 and 206,314.50

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Solution

The third proportional to 99,053.25 and 206,314.50 is: 429,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,053.25 : 206,314.50 = 206,314.50 : x
  2. Step 2: Convert to fraction form
    99,053.25/206,314.50 = 206,314.50/x
  3. Step 3: Cross multiply
    99,053.25x = 206,314.50 × 206,314.50
  4. Step 4: Simplify right side
    99,053.25x = 42,565,672,910.25
  5. Step 5: Solve for x
    x = 42,565,672,910.25/99,053.25
  6. Step 6: Final answer
    x = 429,725.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.