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Finding the Third Proportional to 96,683.63 and 149,399.44

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Solution

The third proportional to 96,683.63 and 149,399.44 is: 230,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,683.63 : 149,399.44 = 149,399.44 : x
  2. Step 2: Convert to fraction form
    96,683.63/149,399.44 = 149,399.44/x
  3. Step 3: Cross multiply
    96,683.63x = 149,399.44 × 149,399.44
  4. Step 4: Simplify right side
    96,683.63x = 22,320,191,925.32
  5. Step 5: Solve for x
    x = 22,320,191,925.32/96,683.63
  6. Step 6: Final answer
    x = 230,858.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.