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Finding the Third Proportional to 96,823.50 and 209,731.50

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Solution

The third proportional to 96,823.50 and 209,731.50 is: 454,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,823.50 : 209,731.50 = 209,731.50 : x
  2. Step 2: Convert to fraction form
    96,823.50/209,731.50 = 209,731.50/x
  3. Step 3: Cross multiply
    96,823.50x = 209,731.50 × 209,731.50
  4. Step 4: Simplify right side
    96,823.50x = 43,987,302,092.25
  5. Step 5: Solve for x
    x = 43,987,302,092.25/96,823.50
  6. Step 6: Final answer
    x = 454,303.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.