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Finding the Third Proportional to 47,415 and 96,193.50

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Solution

The third proportional to 47,415 and 96,193.50 is: 195,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,415 : 96,193.50 = 96,193.50 : x
  2. Step 2: Convert to fraction form
    47,415/96,193.50 = 96,193.50/x
  3. Step 3: Cross multiply
    47,415x = 96,193.50 × 96,193.50
  4. Step 4: Simplify right side
    47,415x = 9,253,189,442.25
  5. Step 5: Solve for x
    x = 9,253,189,442.25/47,415
  6. Step 6: Final answer
    x = 195,153.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.