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Finding the Third Proportional to 99,053.75 and 206,315.50

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Solution

The third proportional to 99,053.75 and 206,315.50 is: 429,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,053.75 : 206,315.50 = 206,315.50 : x
  2. Step 2: Convert to fraction form
    99,053.75/206,315.50 = 206,315.50/x
  3. Step 3: Cross multiply
    99,053.75x = 206,315.50 × 206,315.50
  4. Step 4: Simplify right side
    99,053.75x = 42,566,085,540.25
  5. Step 5: Solve for x
    x = 42,566,085,540.25/99,053.75
  6. Step 6: Final answer
    x = 429,727.15

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