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Finding the Third Proportional to 96,282.63 and 207,788.73

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Solution

The third proportional to 96,282.63 and 207,788.73 is: 448,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,282.63 : 207,788.73 = 207,788.73 : x
  2. Step 2: Convert to fraction form
    96,282.63/207,788.73 = 207,788.73/x
  3. Step 3: Cross multiply
    96,282.63x = 207,788.73 × 207,788.73
  4. Step 4: Simplify right side
    96,282.63x = 43,176,156,509.81
  5. Step 5: Solve for x
    x = 43,176,156,509.81/96,282.63
  6. Step 6: Final answer
    x = 448,431.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.