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Finding the Third Proportional to 96,681.50 and 207,644

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Solution

The third proportional to 96,681.50 and 207,644 is: 445,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,681.50 : 207,644 = 207,644 : x
  2. Step 2: Convert to fraction form
    96,681.50/207,644 = 207,644/x
  3. Step 3: Cross multiply
    96,681.50x = 207,644 × 207,644
  4. Step 4: Simplify right side
    96,681.50x = 43,116,030,736
  5. Step 5: Solve for x
    x = 43,116,030,736/96,681.50
  6. Step 6: Final answer
    x = 445,959.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.