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Finding the Third Proportional to 96,443.71 and 150,187.53

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Solution

The third proportional to 96,443.71 and 150,187.53 is: 233,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,443.71 : 150,187.53 = 150,187.53 : x
  2. Step 2: Convert to fraction form
    96,443.71/150,187.53 = 150,187.53/x
  3. Step 3: Cross multiply
    96,443.71x = 150,187.53 × 150,187.53
  4. Step 4: Simplify right side
    96,443.71x = 22,556,293,076.29
  5. Step 5: Solve for x
    x = 22,556,293,076.29/96,443.71
  6. Step 6: Final answer
    x = 233,880.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.