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Finding the Third Proportional to 96,963 and 149,533.50

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Solution

The third proportional to 96,963 and 149,533.50 is: 230,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963 : 149,533.50 = 149,533.50 : x
  2. Step 2: Convert to fraction form
    96,963/149,533.50 = 149,533.50/x
  3. Step 3: Cross multiply
    96,963x = 149,533.50 × 149,533.50
  4. Step 4: Simplify right side
    96,963x = 22,360,267,622.25
  5. Step 5: Solve for x
    x = 22,360,267,622.25/96,963
  6. Step 6: Final answer
    x = 230,606.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.