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Finding the Third Proportional to 96,133.22 and 207,056.53

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Solution

The third proportional to 96,133.22 and 207,056.53 is: 445,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,133.22 : 207,056.53 = 207,056.53 : x
  2. Step 2: Convert to fraction form
    96,133.22/207,056.53 = 207,056.53/x
  3. Step 3: Cross multiply
    96,133.22x = 207,056.53 × 207,056.53
  4. Step 4: Simplify right side
    96,133.22x = 42,872,407,133.28
  5. Step 5: Solve for x
    x = 42,872,407,133.28/96,133.22
  6. Step 6: Final answer
    x = 445,968.71

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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.