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Finding the Third Proportional to 90,029.75 and 193,403.50

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Solution

The third proportional to 90,029.75 and 193,403.50 is: 415,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,029.75 : 193,403.50 = 193,403.50 : x
  2. Step 2: Convert to fraction form
    90,029.75/193,403.50 = 193,403.50/x
  3. Step 3: Cross multiply
    90,029.75x = 193,403.50 × 193,403.50
  4. Step 4: Simplify right side
    90,029.75x = 37,404,913,812.25
  5. Step 5: Solve for x
    x = 37,404,913,812.25/90,029.75
  6. Step 6: Final answer
    x = 415,472.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.