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Finding the Third Proportional to 96,415.31 and 207,646.98

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Solution

The third proportional to 96,415.31 and 207,646.98 is: 447,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.31 : 207,646.98 = 207,646.98 : x
  2. Step 2: Convert to fraction form
    96,415.31/207,646.98 = 207,646.98/x
  3. Step 3: Cross multiply
    96,415.31x = 207,646.98 × 207,646.98
  4. Step 4: Simplify right side
    96,415.31x = 43,117,268,497.79
  5. Step 5: Solve for x
    x = 43,117,268,497.79/96,415.31
  6. Step 6: Final answer
    x = 447,203.53

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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.